7604416512 has 832 divisors, whose sum is σ = 30195302400. Its totient is φ = 1831403520.

The previous prime is 7604416499. The next prime is 7604416517. The reversal of 7604416512 is 2156144067.

7604416512 is a `hidden beast` number, since 7 + 604 + 41 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×7604416512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7604416517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161796073 + ... + 161796119.

Almost surely, 2^7604416512 is an apocalyptic number.

7604416512 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 7604416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097651200).

7604416512 is an abundant number, since it is smaller than the sum of its proper divisors (22590885888).

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

7604416512 is a wasteful number, since it uses less digits than its factorization.

7604416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7604416512 is about 87203.3056254177. The cubic root of 7604416512 is about 1966.4759169715.

The spelling of 7604416512 in words is "seven billion, six hundred four million, four hundred sixteen thousand, five hundred twelve".