6612942400 has 189 divisors, whose sum is σ = 17335465329. Its totient is φ = 2482536960.

The previous prime is 6612942397. The next prime is 6612942407. The reversal of 6612942400 is 42492166.

The square root of 6612942400 is 81320.

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., 2380659264 + 4232283136 = 48792^2 + 65056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6612942407) 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, 61803147 + ... + 61803253.

Almost surely, 2^6612942400 is an apocalyptic number.

6612942400 is the 81320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6612942400

6612942400 is an abundant number, since it is smaller than the sum of its proper divisors (10722522929).

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

6612942400 is a wasteful number, since it uses less digits than its factorization.

6612942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 6612942400 is about 1877.0027690307.

Multiplying 6612942400 by its product of nonzero digits (20736), we get a square (137125973606400 = 11710080²).

The spelling of 6612942400 in words is "six billion, six hundred twelve million, nine hundred forty-two thousand, four hundred".