7472424960 has 1344 divisors, whose sum is σ = 36093133440. Its totient is φ = 1433272320.

The previous prime is 7472424941. The next prime is 7472425007. The reversal of 7472424960 is 694242747.

7472424960 is a `hidden beast` number, since 74 + 72 + 424 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 574801914 + ... + 574801926.

It is an arithmetic number, because the mean of its divisors is an integer number (26855010).

Almost surely, 2^7472424960 is an apocalyptic number.

7472424960 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 7472424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18046566720).

7472424960 is an abundant number, since it is smaller than the sum of its proper divisors (28620708480).

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

7472424960 is a wasteful number, since it uses less digits than its factorization.

7472424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7472424960 is about 86443.1892053966. The cubic root of 7472424960 is about 1955.0319271435.

The spelling of 7472424960 in words is "seven billion, four hundred seventy-two million, four hundred twenty-four thousand, nine hundred sixty".