69975677664 has 144 divisors (see below), whose sum is σ = 207962681472. Its totient is φ = 22276978944.

The previous prime is 69975677579. The next prime is 69975677693. The reversal of 69975677664 is 46677657996.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 69975677592 and 69975677601.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4516459 + ... + 4531925.

It is an arithmetic number, because the mean of its divisors is an integer number (1444185288).

Almost surely, 2^69975677664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69975677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103981340736).

69975677664 is an abundant number, since it is smaller than the sum of its proper divisors (137987003808).

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

69975677664 is a wasteful number, since it uses less digits than its factorization.

69975677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16189 (or 16178 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 69975677664 in words is "sixty-nine billion, nine hundred seventy-five million, six hundred seventy-seven thousand, six hundred sixty-four".