7610562960 has 640 divisors, whose sum is σ = 32157941760. Its totient is φ = 1437696000.

The previous prime is 7610562913. The next prime is 7610562979. The reversal of 7610562960 is 692650167.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18978760 + ... + 18979160.

It is an arithmetic number, because the mean of its divisors is an integer number (50246784).

Almost surely, 2^7610562960 is an apocalyptic number.

7610562960 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 7610562960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078970880).

7610562960 is an abundant number, since it is smaller than the sum of its proper divisors (24547378800).

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

7610562960 is a wasteful number, since it uses less digits than its factorization.

7610562960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 7610562960 is about 87238.5405655092. The cubic root of 7610562960 is about 1967.0055910505.

The spelling of 7610562960 in words is "seven billion, six hundred ten million, five hundred sixty-two thousand, nine hundred sixty".