7656463440 has 360 divisors, whose sum is σ = 28168384608. Its totient is φ = 1932491520.

The previous prime is 7656463411. The next prime is 7656463457. The reversal of 7656463440 is 443646567.

It is a happy number.

7656463440 is a `hidden beast` number, since 7 + 6 + 5 + 6 + 4 + 634 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7017295 + ... + 7018385.

Almost surely, 2^7656463440 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 7656463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084192304).

7656463440 is an abundant number, since it is smaller than the sum of its proper divisors (20511921168).

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

7656463440 is a wasteful number, since it uses less digits than its factorization.

7656463440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 7656463440 is about 87501.2196486426. The cubic root of 7656463440 is about 1970.9521057564.

The spelling of 7656463440 in words is "seven billion, six hundred fifty-six million, four hundred sixty-three thousand, four hundred forty".