23007740400 has 360 divisors, whose sum is σ = 82685270304. Its totient is φ = 5920358400.

The previous prime is 23007740339. The next prime is 23007740401. The reversal of 23007740400 is 404770032.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×23007740400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23007740401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14316397 + ... + 14318003.

Almost surely, 2^23007740400 is an apocalyptic number.

23007740400 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 23007740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41342635152).

23007740400 is an abundant number, since it is smaller than the sum of its proper divisors (59677529904).

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

23007740400 is a wasteful number, since it uses less digits than its factorization.

23007740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The spelling of 23007740400 in words is "twenty-three billion, seven million, seven hundred forty thousand, four hundred".