7082464400 has 120 divisors (see below), whose sum is σ = 18591798144. Its totient is φ = 2571379200.

The previous prime is 7082464399. The next prime is 7082464423. The reversal of 7082464400 is 44642807.

It is a super-2 number, since 2×7082464400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5336537 + ... + 5337863.

Almost surely, 2^7082464400 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 7082464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295899072).

7082464400 is an abundant number, since it is smaller than the sum of its proper divisors (11509333744).

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

7082464400 is a wasteful number, since it uses less digits than its factorization.

7082464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 7082464400 is about 84157.3787614610. The cubic root of 7082464400 is about 1920.4137201626.

The spelling of 7082464400 in words is "seven billion, eighty-two million, four hundred sixty-four thousand, four hundred".