23431076640 has 288 divisors, whose sum is σ = 87072148800. Its totient is φ = 5715118080.

The previous prime is 23431076623. The next prime is 23431076677. The reversal of 23431076640 is 4667013432.

It is a happy number.

23431076640 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 1 + 0 + 7 + 6 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23431076595 and 23431076604.

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 47 ways as a sum of consecutive naturals, for example, 778675 + ... + 808205.

It is an arithmetic number, because the mean of its divisors is an integer number (302333850).

Almost surely, 2^23431076640 is an apocalyptic number.

23431076640 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 23431076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43536074400).

23431076640 is an abundant number, since it is smaller than the sum of its proper divisors (63641072160).

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

23431076640 is a wasteful number, since it uses less digits than its factorization.

23431076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29600 (or 29589 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 23431076640 in words is "twenty-three billion, four hundred thirty-one million, seventy-six thousand, six hundred forty".