73936497491136 has 672 divisors, whose sum is σ = 256062068398080. Its totient is φ = 20856433747968.

The previous prime is 73936497491119. The next prime is 73936497491147. The reversal of 73936497491136 is 63119479463937.

73936497491136 is a `hidden beast` number, since 7 + 3 + 9 + 36 + 4 + 97 + 491 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×73936497491136² (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15721132561 + ... + 15721137263.

It is an arithmetic number, because the mean of its divisors is an integer number (381044744640).

Almost surely, 2^{73936497491136} 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 73936497491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128031034199040).

73936497491136 is an abundant number, since it is smaller than the sum of its proper divisors (182125570906944).

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

73936497491136 is a wasteful number, since it uses less digits than its factorization.

73936497491136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7035 counting only the distinct ones).

The product of its digits is 555532992, while the sum is 72.

The spelling of 73936497491136 in words is "seventy-three trillion, nine hundred thirty-six billion, four hundred ninety-seven million, four hundred ninety-one thousand, one hundred thirty-six".