7621618560 has 256 divisors, whose sum is σ = 25602946560. Its totient is φ = 1924702208.

The previous prime is 7621618541. The next prime is 7621618573. The reversal of 7621618560 is 658161267.

It is a congruent number.

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, 4724314 + ... + 4725926.

It is an arithmetic number, because the mean of its divisors is an integer number (100011510).

Almost surely, 2^7621618560 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 7621618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801473280).

7621618560 is an abundant number, since it is smaller than the sum of its proper divisors (17981328000).

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

7621618560 is a wasteful number, since it uses less digits than its factorization.

7621618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7621618560 is about 87301.8817666607. The cubic root of 7621618560 is about 1967.9575970770.

The spelling of 7621618560 in words is "seven billion, six hundred twenty-one million, six hundred eighteen thousand, five hundred sixty".