7907139440640 has 1248 divisors, whose sum is σ = 31301598518400. Its totient is φ = 1915568455680.

The previous prime is 7907139440617. The next prime is 7907139440657. The reversal of 7907139440640 is 460449317097.

7907139440640 is a `hidden beast` number, since 7 + 9 + 0 + 7 + 139 + 440 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5419560231 + ... + 5419561689.

Almost surely, 2^{7907139440640} 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 7907139440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650799259200).

7907139440640 is an abundant number, since it is smaller than the sum of its proper divisors (23394459077760).

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

7907139440640 is an equidigital number, since it uses as much as digits as its factorization.

7907139440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 7907139440640 in words is "seven trillion, nine hundred seven billion, one hundred thirty-nine million, four hundred forty thousand, six hundred forty".