7474790400 has 720 divisors, whose sum is σ = 31204669440. Its totient is φ = 1533542400.

The previous prime is 7474790383. The next prime is 7474790459. The reversal of 7474790400 is 40974747.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94617561 + ... + 94617639.

Almost surely, 2^7474790400 is an apocalyptic number.

7474790400 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 7474790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602334720).

7474790400 is an abundant number, since it is smaller than the sum of its proper divisors (23729879040).

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

7474790400 is a wasteful number, since it uses less digits than its factorization.

7474790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 7474790400 is about 86456.8701723582. The cubic root of 7474790400 is about 1955.2381976585.

The spelling of 7474790400 in words is "seven billion, four hundred seventy-four million, seven hundred ninety thousand, four hundred".