13024640700 has 288 divisors, whose sum is σ = 43948298240. Its totient is φ = 3304800000.

The previous prime is 13024640621. The next prime is 13024640701. The reversal of 13024640700 is 704642031.

13024640700 is a `hidden beast` number, since 13 + 0 + 2 + 4 + 640 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024640701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5104425 + ... + 5106975.

Almost surely, 2^13024640700 is an apocalyptic number.

13024640700 is a gapful number since it is divisible by the number (10) 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 13024640700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21974149120).

13024640700 is an abundant number, since it is smaller than the sum of its proper divisors (30923657540).

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

13024640700 is a wasteful number, since it uses less digits than its factorization.

13024640700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 13024640700 in words is "thirteen billion, twenty-four million, six hundred forty thousand, seven hundred".