7485807924504 has 1536 divisors, whose sum is σ = 27861287731200. Its totient is φ = 1865885414400.

The previous prime is 7485807924461. The next prime is 7485807924559. The reversal of 7485807924504 is 4054297085847.

It is a happy number.

7485807924504 is a `hidden beast` number, since 7 + 4 + 8 + 58 + 0 + 79 + 2 + 4 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16238194834 + ... + 16238195294.

It is an arithmetic number, because the mean of its divisors is an integer number (18138859200).

Almost surely, 2^{7485807924504} 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 7485807924504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930643865600).

7485807924504 is an abundant number, since it is smaller than the sum of its proper divisors (20375479806696).

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

7485807924504 is a wasteful number, since it uses less digits than its factorization.

7485807924504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 7485807924504 in words is "seven trillion, four hundred eighty-five billion, eight hundred seven million, nine hundred twenty-four thousand, five hundred four".