7638620754256 has 80 divisors (see below), whose sum is σ = 15386240217600. Its totient is φ = 3669294988800.

The previous prime is 7638620754239. The next prime is 7638620754257. The reversal of 7638620754256 is 6524570268367.

It is a super-2 number, since 2×7638620754256² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7638620754194 and 7638620754203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638620754257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757869825 + ... + 757879903.

It is an arithmetic number, because the mean of its divisors is an integer number (192328002720).

Almost surely, 2^{7638620754256} 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 7638620754256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693120108800).

7638620754256 is an abundant number, since it is smaller than the sum of its proper divisors (7747619463344).

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

7638620754256 is a wasteful number, since it uses less digits than its factorization.

7638620754256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18068 (or 18062 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 61.

The spelling of 7638620754256 in words is "seven trillion, six hundred thirty-eight billion, six hundred twenty million, seven hundred fifty-four thousand, two hundred fifty-six".