72779611650480 has 1600 divisors, whose sum is σ = 306189778599936. Its totient is φ = 15669448704000.

The previous prime is 72779611650463. The next prime is 72779611650587. The reversal of 72779611650480 is 8405611697727.

72779611650480 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 9 + 6 + 116 + 504 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30036982549 + ... + 30036984971.

Almost surely, 2^{72779611650480} is an apocalyptic number.

72779611650480 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 72779611650480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153094889299968).

72779611650480 is an abundant number, since it is smaller than the sum of its proper divisors (233410166949456).

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

72779611650480 is a wasteful number, since it uses less digits than its factorization.

72779611650480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 72779611650480 in words is "seventy-two trillion, seven hundred seventy-nine billion, six hundred eleven million, six hundred fifty thousand, four hundred eighty".