73807062912 has 384 divisors, whose sum is σ = 249525619200. Its totient is φ = 20689797120.

The previous prime is 73807062877. The next prime is 73807062913. The reversal of 73807062912 is 21926070837.

73807062912 is a `hidden beast` number, since 7 + 3 + 8 + 0 + 7 + 0 + 629 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73807062913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12707113 + ... + 12712919.

It is an arithmetic number, because the mean of its divisors is an integer number (649806300).

Almost surely, 2^73807062912 is an apocalyptic number.

73807062912 is a gapful number since it is divisible by the number (72) 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 73807062912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124762809600).

73807062912 is an abundant number, since it is smaller than the sum of its proper divisors (175718556288).

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

73807062912 is a wasteful number, since it uses less digits than its factorization.

73807062912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 73807062912 in words is "seventy-three billion, eight hundred seven million, sixty-two thousand, nine hundred twelve".