7950289618944 has 384 divisors, whose sum is σ = 25344965318400. Its totient is φ = 2453302149120.

The previous prime is 7950289618867. The next prime is 7950289618987. The reversal of 7950289618944 is 4498169820597.

7950289618944 is a `hidden beast` number, since 79 + 502 + 8 + 9 + 6 + 1 + 8 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57272629 + ... + 57411275.

It is an arithmetic number, because the mean of its divisors is an integer number (66002513850).

Almost surely, 2^{7950289618944} 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 7950289618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672482659200).

7950289618944 is an abundant number, since it is smaller than the sum of its proper divisors (17394675699456).

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

7950289618944 is a wasteful number, since it uses less digits than its factorization.

7950289618944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138756 (or 138730 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 7950289618944 in words is "seven trillion, nine hundred fifty billion, two hundred eighty-nine million, six hundred eighteen thousand, nine hundred forty-four".