7379418290688 has 1280 divisors, whose sum is σ = 25191412646400. Its totient is φ = 2118270320640.

The previous prime is 7379418290581. The next prime is 7379418290711. The reversal of 7379418290688 is 8860928149737.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31671323020 + ... + 31671323252.

It is an arithmetic number, because the mean of its divisors is an integer number (19680791130).

Almost surely, 2^{7379418290688} 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 7379418290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595706323200).

7379418290688 is an abundant number, since it is smaller than the sum of its proper divisors (17811994355712).

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

7379418290688 is a wasteful number, since it uses less digits than its factorization.

7379418290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 7379418290688 in words is "seven trillion, three hundred seventy-nine billion, four hundred eighteen million, two hundred ninety thousand, six hundred eighty-eight".