9275666400 has 1620 divisors, whose sum is σ = 46012976856. Its totient is φ = 1779148800.

The previous prime is 9275666399. The next prime is 9275666401. The reversal of 9275666400 is 46665729.

It is an interprime number because it is at equal distance from previous prime (9275666399) and next prime (9275666401).

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9275666401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 713512794 + ... + 713512806.

Almost surely, 2^9275666400 is an apocalyptic number.

9275666400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9275666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006488428).

9275666400 is an abundant number, since it is smaller than the sum of its proper divisors (36737310456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9275666400 is a wasteful number, since it uses less digits than its factorization.

9275666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9275666400 is about 96310.2611355613. The cubic root of 9275666400 is about 2101.1079867378.

The spelling of 9275666400 in words is "nine billion, two hundred seventy-five million, six hundred sixty-six thousand, four hundred".