96361799040 has 960 divisors, whose sum is σ = 395162206560. Its totient is φ = 22290038784.

The previous prime is 96361799033. The next prime is 96361799059. The reversal of 96361799040 is 4099716369.

96361799040 is a `hidden beast` number, since 96 + 361 + 79 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 148935997 + ... + 148936643.

Almost surely, 2^96361799040 is an apocalyptic number.

96361799040 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 96361799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197581103280).

96361799040 is an abundant number, since it is smaller than the sum of its proper divisors (298800407520).

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

96361799040 is a wasteful number, since it uses less digits than its factorization.

96361799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 96361799040 in words is "ninety-six billion, three hundred sixty-one million, seven hundred ninety-nine thousand, forty".