73900322496 has 672 divisors, whose sum is σ = 288799999488. Its totient is φ = 17444782080.

The previous prime is 73900322479. The next prime is 73900322513. The reversal of 73900322496 is 69422300937.

73900322496 is a `hidden beast` number, since 73 + 90 + 0 + 3 + 2 + 2 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (73900322479) and next prime (73900322513).

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

It is a super-2 number, since 2×73900322496² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 38629636 + ... + 38631548.

It is an arithmetic number, because the mean of its divisors is an integer number (429761904).

Almost surely, 2^73900322496 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 73900322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144399999744).

73900322496 is an abundant number, since it is smaller than the sum of its proper divisors (214899676992).

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

73900322496 is a wasteful number, since it uses less digits than its factorization.

73900322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 73900322496 in words is "seventy-three billion, nine hundred million, three hundred twenty-two thousand, four hundred ninety-six".