7656442464 has 288 divisors, whose sum is σ = 23536275840. Its totient is φ = 2171473920.

The previous prime is 7656442441. The next prime is 7656442471. The reversal of 7656442464 is 4642446567.

It is a super-2 number, since 2×7656442464² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24939399 + ... + 24939705.

It is an arithmetic number, because the mean of its divisors is an integer number (81723180).

Almost surely, 2^7656442464 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 7656442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768137920).

7656442464 is an abundant number, since it is smaller than the sum of its proper divisors (15879833376).

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

7656442464 is a wasteful number, since it uses less digits than its factorization.

7656442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 48.

The square root of 7656442464 is about 87501.0997873741. The cubic root of 7656442464 is about 1970.9503058510.

The spelling of 7656442464 in words is "seven billion, six hundred fifty-six million, four hundred forty-two thousand, four hundred sixty-four".