23479362466560 has 2304 divisors, whose sum is σ = 112932343480320. Its totient is φ = 4460741591040.

The previous prime is 23479362466519. The next prime is 23479362466597. The reversal of 23479362466560 is 6566426397432.

23479362466560 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 9 + 3 + 6 + 2 + 4 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×23479362466560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3701614749 + ... + 3701621091.

It is an arithmetic number, because the mean of its divisors is an integer number (49015774080).

Almost surely, 2^{23479362466560} is an apocalyptic number.

23479362466560 is a gapful number since it is divisible by the number (20) 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 23479362466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56466171740160).

23479362466560 is an abundant number, since it is smaller than the sum of its proper divisors (89452981013760).

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

23479362466560 is a wasteful number, since it uses less digits than its factorization.

23479362466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 63.

The spelling of 23479362466560 in words is "twenty-three trillion, four hundred seventy-nine billion, three hundred sixty-two million, four hundred sixty-six thousand, five hundred sixty".