7506889004160 has 1024 divisors, whose sum is σ = 33520730342400. Its totient is φ = 1545226813440.

The previous prime is 7506889004089. The next prime is 7506889004171. The reversal of 7506889004160 is 614009886057.

7506889004160 is a `hidden beast` number, since 7 + 506 + 8 + 8 + 90 + 0 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7506889004097 and 7506889004106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64413462 + ... + 64529898.

It is an arithmetic number, because the mean of its divisors is an integer number (32735088225).

Almost surely, 2^{7506889004160} is an apocalyptic number.

7506889004160 is a gapful number since it is divisible by the number (70) 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 7506889004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760365171200).

7506889004160 is an abundant number, since it is smaller than the sum of its proper divisors (26013841338240).

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

7506889004160 is a wasteful number, since it uses less digits than its factorization.

7506889004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116526 (or 116508 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 7506889004160 in words is "seven trillion, five hundred six billion, eight hundred eighty-nine million, four thousand, one hundred sixty".