7642981056 has 112 divisors (see below), whose sum is σ = 21009904640. Its totient is φ = 2449474560.

The previous prime is 7642981051. The next prime is 7642981067. The reversal of 7642981056 is 6501892467.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7642980996 and 7642981014.

It is not an unprimeable number, because it can be changed into a prime (7642981051) 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, 930375 + ... + 938553.

Almost surely, 2^7642981056 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 7642981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10504952320).

7642981056 is an abundant number, since it is smaller than the sum of its proper divisors (13366923584).

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

7642981056 is a wasteful number, since it uses less digits than its factorization.

7642981056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 7642981056 is about 87424.1445826037. The cubic root of 7642981056 is about 1969.7945327551.

The spelling of 7642981056 in words is "seven billion, six hundred forty-two million, nine hundred eighty-one thousand, fifty-six".