546115046400 has 2112 divisors, whose sum is σ = 2588801925120. Its totient is φ = 109486080000.

The previous prime is 546115046377. The next prime is 546115046423. The reversal of 546115046400 is 4640511645.

546115046400 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 1 + 5 + 0 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (546115046377) and next prime (546115046423).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1649894235 + ... + 1649894565.

Almost surely, 2^546115046400 is an apocalyptic number.

546115046400 is a gapful number since it is divisible by the number (50) 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 546115046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294400962560).

546115046400 is an abundant number, since it is smaller than the sum of its proper divisors (2042686878720).

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

546115046400 is a wasteful number, since it uses less digits than its factorization.

546115046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 546115046400 in words is "five hundred forty-six billion, one hundred fifteen million, forty-six thousand, four hundred".