7452264960 has 960 divisors, whose sum is σ = 32172940800. Its totient is φ = 1589575680.

The previous prime is 7452264943. The next prime is 7452265003. The reversal of 7452264960 is 694622547.

7452264960 is a `hidden beast` number, since 7 + 4 + 522 + 64 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181762540 + ... + 181762580.

It is an arithmetic number, because the mean of its divisors is an integer number (33513480).

Almost surely, 2^7452264960 is an apocalyptic number.

7452264960 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 7452264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

7452264960 is an abundant number, since it is smaller than the sum of its proper divisors (24720675840).

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

7452264960 is a wasteful number, since it uses less digits than its factorization.

7452264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7452264960 is about 86326.5020720752. The cubic root of 7452264960 is about 1953.2721708016.

The spelling of 7452264960 in words is "seven billion, four hundred fifty-two million, two hundred sixty-four thousand, nine hundred sixty".