7368777872001 has 240 divisors, whose sum is σ = 14151685540608. Its totient is φ = 3738476851200.

The previous prime is 7368777871991. The next prime is 7368777872087. The reversal of 7368777872001 is 1002787778637.

It is not a de Polignac number, because 7368777872001 - 2¹¹ = 7368777869953 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7368777872001.

It is not an unprimeable number, because it can be changed into a prime (7368777871001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 278927545 + ... + 278953961.

Almost surely, 2^{7368777872001} is an apocalyptic number.

7368777872001 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

7368777872001 is a deficient number, since it is larger than the sum of its proper divisors (6782907668607).

7368777872001 is a wasteful number, since it uses less digits than its factorization.

7368777872001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26574 (or 26552 counting only the distinct ones).

The product of its (nonzero) digits is 38723328, while the sum is 63.

The spelling of 7368777872001 in words is "seven trillion, three hundred sixty-eight billion, seven hundred seventy-seven million, eight hundred seventy-two thousand, one".