7370040400 has 60 divisors (see below), whose sum is σ = 17775666972. Its totient is φ = 2936504320.

The previous prime is 7370040389. The next prime is 7370040407. The reversal of 7370040400 is 40400737.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 7366445584 = 1896^2 + 85828^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7370040407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66954 + ... + 138646.

Almost surely, 2^7370040400 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 7370040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887833486).

7370040400 is an abundant number, since it is smaller than the sum of its proper divisors (10405626572).

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

7370040400 is a wasteful number, since it uses less digits than its factorization.

7370040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71968 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 7370040400 is about 85848.9394226859. The cubic root of 7370040400 is about 1946.0617777737.

The spelling of 7370040400 in words is "seven billion, three hundred seventy million, forty thousand, four hundred".