23921977968 has 640 divisors, whose sum is σ = 87494400000. Its totient is φ = 6230504448.

The previous prime is 23921977951. The next prime is 23921977973. The reversal of 23921977968 is 86977912932.

It is a super-2 number, since 2×23921977968² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81644830 + ... + 81645122.

It is an arithmetic number, because the mean of its divisors is an integer number (136710000).

Almost surely, 2^23921977968 is an apocalyptic number.

23921977968 is a gapful number since it is divisible by the number (28) 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 23921977968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200000).

23921977968 is an abundant number, since it is smaller than the sum of its proper divisors (63572422032).

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

23921977968 is a wasteful number, since it uses less digits than its factorization.

23921977968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 23921977968 in words is "twenty-three billion, nine hundred twenty-one million, nine hundred seventy-seven thousand, nine hundred sixty-eight".