7907976637440 has 1056 divisors, whose sum is σ = 29736978743808. Its totient is φ = 1778122752000.

The previous prime is 7907976637399. The next prime is 7907976637441. The reversal of 7907976637440 is 447366797097.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-5 number, since 5×7907976637440⁵ (a number of 66 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (7907976637441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3466889100 + ... + 3466891380.

Almost surely, 2^{7907976637440} 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 7907976637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868489371904).

7907976637440 is an abundant number, since it is smaller than the sum of its proper divisors (21829002106368).

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

7907976637440 is a wasteful number, since it uses less digits than its factorization.

7907976637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 69.

The spelling of 7907976637440 in words is "seven trillion, nine hundred seven billion, nine hundred seventy-six million, six hundred thirty-seven thousand, four hundred forty".