7145592960 has 256 divisors, whose sum is σ = 26156390400. Its totient is φ = 1641000960.

The previous prime is 7145592959. The next prime is 7145593003. The reversal of 7145592960 is 692955417.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392377 + ... + 410183.

It is an arithmetic number, because the mean of its divisors is an integer number (102173400).

Almost surely, 2^7145592960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078195200).

7145592960 is an abundant number, since it is smaller than the sum of its proper divisors (19010797440).

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

7145592960 is a wasteful number, since it uses less digits than its factorization.

7145592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17859 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 7145592960 is about 84531.6092358356. The cubic root of 7145592960 is about 1926.1026311298.

The spelling of 7145592960 in words is "seven billion, one hundred forty-five million, five hundred ninety-two thousand, nine hundred sixty".