23080777632 has 288 divisors, whose sum is σ = 74788406784. Its totient is φ = 6943968000.

The previous prime is 23080777613. The next prime is 23080777661. The reversal of 23080777632 is 23677708032.

23080777632 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 0 + 7 + 7 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12915043 + ... + 12916829.

It is an arithmetic number, because the mean of its divisors is an integer number (259681968).

Almost surely, 2^23080777632 is an apocalyptic number.

23080777632 is a gapful number since it is divisible by the number (22) 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 23080777632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37394203392).

23080777632 is an abundant number, since it is smaller than the sum of its proper divisors (51707629152).

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

23080777632 is a wasteful number, since it uses less digits than its factorization.

23080777632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 23080777632 in words is "twenty-three billion, eighty million, seven hundred seventy-seven thousand, six hundred thirty-two".