23279477760 has 968 divisors, whose sum is σ = 104433944256. Its totient is φ = 4837294080.

The previous prime is 23279477743. The next prime is 23279477783. The reversal of 23279477760 is 6777497232.

23279477760 is a `hidden beast` number, since 2 + 32 + 79 + 477 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23279477697 and 23279477706.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2116316155 + ... + 2116316165.

Almost surely, 2^23279477760 is an apocalyptic number.

23279477760 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 23279477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52216972128).

23279477760 is an abundant number, since it is smaller than the sum of its proper divisors (81154466496).

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

23279477760 is an frugal number, since it uses more digits than its factorization.

23279477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 23279477760 in words is "twenty-three billion, two hundred seventy-nine million, four hundred seventy-seven thousand, seven hundred sixty".