7976815799040 has 864 divisors, whose sum is σ = 31205772037440. Its totient is φ = 1863519436800.

The previous prime is 7976815799033. The next prime is 7976815799047. The reversal of 7976815799040 is 409975186797.

7976815799040 is a `hidden beast` number, since 7 + 9 + 7 + 6 + 8 + 1 + 579 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7976815799033) and next prime (7976815799047).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7976815799040.

It is not an unprimeable number, because it can be changed into a prime (7976815799047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2252699670 + ... + 2252703210.

It is an arithmetic number, because the mean of its divisors is an integer number (36117791710).

Almost surely, 2^{7976815799040} 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 7976815799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602886018720).

7976815799040 is an abundant number, since it is smaller than the sum of its proper divisors (23228956238400).

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

7976815799040 is a wasteful number, since it uses less digits than its factorization.

7976815799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 7976815799040 in words is "seven trillion, nine hundred seventy-six billion, eight hundred fifteen million, seven hundred ninety-nine thousand, forty".