78132906564 has 12 divisors (see below), whose sum is σ = 182310115344. Its totient is φ = 26044302184.

The previous prime is 78132906521. The next prime is 78132906629. The reversal of 78132906564 is 46560923187.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×78132906564² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3255537762 + ... + 3255537785.

It is an arithmetic number, because the mean of its divisors is an integer number (15192509612).

It is a 1-persistent number, because it is pandigital, but 2⋅78132906564 = 156265813128 is not.

Almost surely, 2^78132906564 is an apocalyptic number.

It is an amenable number.

78132906564 is an abundant number, since it is smaller than the sum of its proper divisors (104177208780).

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

78132906564 is a wasteful number, since it uses less digits than its factorization.

78132906564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511075554 (or 6511075552 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 78132906564 in words is "seventy-eight billion, one hundred thirty-two million, nine hundred six thousand, five hundred sixty-four".