7656590312448 has 1320 divisors, whose sum is σ = 27379494631104. Its totient is φ = 1897158574080.

The previous prime is 7656590312447. The next prime is 7656590312453. The reversal of 7656590312448 is 8442130956567.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7656590312391 and 7656590312400.

It is not an unprimeable number, because it can be changed into a prime (7656590312447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20527051590 + ... + 20527051962.

It is a 1-persistent number, because it is pandigital, but 2⋅7656590312448 = 15313180624896 is not.

Almost surely, 2^{7656590312448} 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 7656590312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689747315552).

7656590312448 is an abundant number, since it is smaller than the sum of its proper divisors (19722904318656).

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

7656590312448 is a wasteful number, since it uses less digits than its factorization.

7656590312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 7656590312448 in words is "seven trillion, six hundred fifty-six billion, five hundred ninety million, three hundred twelve thousand, four hundred forty-eight".