79903764071040 has 1024 divisors, whose sum is σ = 317479357440000. Its totient is φ = 16644490592256.

The previous prime is 79903764071023. The next prime is 79903764071083. The reversal of 79903764071040 is 4017046730997.

It is a super-2 number, since 2×79903764071040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4347548571 + ... + 4347566949.

It is an arithmetic number, because the mean of its divisors is an integer number (310038435000).

Almost surely, 2^{79903764071040} is an apocalyptic number.

79903764071040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79903764071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739678720000).

79903764071040 is an abundant number, since it is smaller than the sum of its proper divisors (237575593368960).

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

79903764071040 is a wasteful number, since it uses less digits than its factorization.

79903764071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18737 (or 18725 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 57.

It can be divided in two parts, 7990376 and 4071040, that added together give a triangular number (12061416 = T₄₉₁₁).

The spelling of 79903764071040 in words is "seventy-nine trillion, nine hundred three billion, seven hundred sixty-four million, seventy-one thousand, forty".