7400574720 has 1008 divisors, whose sum is σ = 33457761792. Its totient is φ = 1522851840.

The previous prime is 7400574697. The next prime is 7400574751. The reversal of 7400574720 is 274750047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 71850189 + ... + 71850291.

It is an arithmetic number, because the mean of its divisors is an integer number (33192224).

Almost surely, 2^7400574720 is an apocalyptic number.

7400574720 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 7400574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728880896).

7400574720 is an abundant number, since it is smaller than the sum of its proper divisors (26057187072).

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

7400574720 is a wasteful number, since it uses less digits than its factorization.

7400574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 7400574720 is about 86026.5930977160. The cubic root of 7400574720 is about 1948.7456074508.

The spelling of 7400574720 in words is "seven billion, four hundred million, five hundred seventy-four thousand, seven hundred twenty".