23277248640 has 640 divisors, whose sum is σ = 89666604720. Its totient is φ = 5733089280.

The previous prime is 23277248627. The next prime is 23277248671. The reversal of 23277248640 is 4684277232.

It can be written as a sum of positive squares in 8 ways, for example, as 2561979456 + 20715269184 = 50616^2 + 143928^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53757864 + ... + 53758296.

Almost surely, 2^23277248640 is an apocalyptic number.

23277248640 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 23277248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44833302360).

23277248640 is an abundant number, since it is smaller than the sum of its proper divisors (66389356080).

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

23277248640 is a wasteful number, since it uses less digits than its factorization.

23277248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 23277248640 in words is "twenty-three billion, two hundred seventy-seven million, two hundred forty-eight thousand, six hundred forty".