7662369096864 has 120 divisors (see below), whose sum is σ = 23143864005108. Its totient is φ = 2485092648960.

The previous prime is 7662369096859. The next prime is 7662369096871. The reversal of 7662369096864 is 4686909632667.

It can be written as a sum of positive squares in 2 ways, for example, as 7591457667600 + 70911429264 = 2755260^2 + 266292^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7662369096792 and 7662369096801.

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 19 ways as a sum of consecutive naturals, for example, 39852217 + ... + 40044024.

Almost surely, 2^{7662369096864} is an apocalyptic number.

7662369096864 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

7662369096864 is an abundant number, since it is smaller than the sum of its proper divisors (15481494908244).

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

7662369096864 is a wasteful number, since it uses less digits than its factorization.

7662369096864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79896300 (or 79896283 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 7662369096864 in words is "seven trillion, six hundred sixty-two billion, three hundred sixty-nine million, ninety-six thousand, eight hundred sixty-four".