7004390400 has 792 divisors, whose sum is σ = 29618681664. Its totient is φ = 1548288000.

The previous prime is 7004390383. The next prime is 7004390411. The reversal of 7004390400 is 40934007.

It is a super-2 number, since 2×7004390400² = 98122969751224320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69350350 + ... + 69350450.

Almost surely, 2^7004390400 is an apocalyptic number.

7004390400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7004390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809340832).

7004390400 is an abundant number, since it is smaller than the sum of its proper divisors (22614291264).

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

7004390400 is a wasteful number, since it uses less digits than its factorization.

7004390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7004390400 is about 83692.2361990645. The cubic root of 7004390400 is about 1913.3310293354.

The spelling of 7004390400 in words is "seven billion, four million, three hundred ninety thousand, four hundred".