7995313157040 has 960 divisors, whose sum is σ = 31360532797440. Its totient is φ = 1892966423040.

The previous prime is 7995313157017. The next prime is 7995313157131. The reversal of 7995313157040 is 407513135997.

7995313157040 is a `hidden beast` number, since 7 + 9 + 9 + 5 + 31 + 31 + 570 + 4 + 0 = 666.

It is a super-3 number, since 3×7995313157040³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 910312489 + ... + 910321271.

It is an arithmetic number, because the mean of its divisors is an integer number (32667221664).

Almost surely, 2^{7995313157040} 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 7995313157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680266398720).

7995313157040 is an abundant number, since it is smaller than the sum of its proper divisors (23365219640400).

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

7995313157040 is a wasteful number, since it uses less digits than its factorization.

7995313157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 7995313157040 in words is "seven trillion, nine hundred ninety-five billion, three hundred thirteen million, one hundred fifty-seven thousand, forty".