23679672516 has 120 divisors (see below), whose sum is σ = 63099873760. Its totient is φ = 7775414856.

The previous prime is 23679672509. The next prime is 23679672551. The reversal of 23679672516 is 61527697632.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23679672516 is a `hidden beast` number, since 2 + 3 + 67 + 9 + 67 + 2 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5715360) is a multiple of the sum of its prime divisors (72).

It is an enlightened number because it begins with the concatenation of its prime factors (2367).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353427915 + ... + 353427981.

Almost surely, 2^23679672516 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 23679672516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31549936880).

23679672516 is an abundant number, since it is smaller than the sum of its proper divisors (39420201244).

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

23679672516 is an frugal number, since it uses more digits than its factorization.

23679672516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 72 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

Multiplying 23679672516 by its sum of digits (54), we get a cube (1278702315864 = 10854³).

The spelling of 23679672516 in words is "twenty-three billion, six hundred seventy-nine million, six hundred seventy-two thousand, five hundred sixteen".