73697451924096 has 3072 divisors, whose sum is σ = 305775959040000. Its totient is φ = 17308853452800.

The previous prime is 73697451924067. The next prime is 73697451924119. The reversal of 73697451924096 is 69042915479637.

73697451924096 is a `hidden beast` number, since 7 + 3 + 6 + 97 + 45 + 1 + 92 + 409 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 116794693701 + ... + 116794694331.

It is an arithmetic number, because the mean of its divisors is an integer number (99536445000).

Almost surely, 2^{73697451924096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73697451924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152887979520000).

73697451924096 is an abundant number, since it is smaller than the sum of its proper divisors (232078507115904).

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

73697451924096 is a wasteful number, since it uses less digits than its factorization.

73697451924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 73697451924096 in words is "seventy-three trillion, six hundred ninety-seven billion, four hundred fifty-one million, nine hundred twenty-four thousand, ninety-six".