7461160400 has 30 divisors (see below), whose sum is σ = 17925438822. Its totient is φ = 2984464000.

The previous prime is 7461160393. The next prime is 7461160411. The reversal of 7461160400 is 40611647.

It can be written as a sum of positive squares in 3 ways, for example, as 21752896 + 7439407504 = 4664^2 + 86252^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9326051 + ... + 9326850.

Almost surely, 2^7461160400 is an apocalyptic number.

It is an amenable number.

7461160400 is an abundant number, since it is smaller than the sum of its proper divisors (10464278422).

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

7461160400 is a wasteful number, since it uses less digits than its factorization.

7461160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18652919 (or 18652908 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 7461160400 is about 86378.0087753822. The cubic root of 7461160400 is about 1954.0490400590.

The spelling of 7461160400 in words is "seven billion, four hundred sixty-one million, one hundred sixty thousand, four hundred".