23406679296 has 1152 divisors, whose sum is σ = 98896896000. Its totient is φ = 5255331840.

The previous prime is 23406679277. The next prime is 23406679343. The reversal of 23406679296 is 69297660432.

23406679296 is a `hidden beast` number, since 2 + 3 + 406 + 67 + 92 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117621405 + ... + 117621603.

It is an arithmetic number, because the mean of its divisors is an integer number (85848000).

Almost surely, 2^23406679296 is an apocalyptic number.

23406679296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23406679296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49448448000).

23406679296 is an abundant number, since it is smaller than the sum of its proper divisors (75490216704).

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

23406679296 is a wasteful number, since it uses less digits than its factorization.

23406679296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 23406679296 in words is "twenty-three billion, four hundred six million, six hundred seventy-nine thousand, two hundred ninety-six".