7913073600 has 336 divisors, whose sum is σ = 29119311840. Its totient is φ = 2090188800.

The previous prime is 7913073599. The next prime is 7913073607. The reversal of 7913073600 is 63703197.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7913073607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4880790 + ... + 4882410.

Almost surely, 2^7913073600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7913073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559655920).

7913073600 is an abundant number, since it is smaller than the sum of its proper divisors (21206238240).

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

7913073600 is a wasteful number, since it uses less digits than its factorization.

7913073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 7913073600 is about 88955.4585171703. The cubic root of 7913073600 is about 1992.7297369948.

Adding to 7913073600 its reverse (63703197), we get a palindrome (7976776797).

The spelling of 7913073600 in words is "seven billion, nine hundred thirteen million, seventy-three thousand, six hundred".