7136870400 has 513 divisors, whose sum is σ = 28101258913. Its totient is φ = 1730150400.

The previous prime is 7136870387. The next prime is 7136870401. The reversal of 7136870400 is 40786317.

The square root of 7136870400 is 84480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2569273344 + 4567597056 = 50688^2 + 67584^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7136870401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 648806395 + ... + 648806405.

Almost surely, 2^7136870400 is an apocalyptic number.

7136870400 is the 84480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7136870400

7136870400 is an abundant number, since it is smaller than the sum of its proper divisors (20964388513).

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

7136870400 is an equidigital number, since it uses as much as digits as its factorization.

7136870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The cubic root of 7136870400 is about 1925.3185867269.

Multiplying 7136870400 by its sum of digits (36), we get a square (256927334400 = 506880²).

7136870400 divided by its sum of digits (36) gives a square (198246400 = 14080²).

Multiplying 7136870400 by its product of nonzero digits (28224), we get a square (201431030169600 = 14192640²).

The spelling of 7136870400 in words is "seven billion, one hundred thirty-six million, eight hundred seventy thousand, four hundred".