7620661000 has 128 divisors (see below), whose sum is σ = 18139080960. Its totient is φ = 2996352000.

The previous prime is 7620660997. The next prime is 7620661033. The reversal of 7620661000 is 1660267.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 7620661000 = 450³ + 1960³ = 1330³ + 1740³.

It is a self number, because there is not a number n which added to its sum of digits gives 7620661000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24822847 + ... + 24823153.

It is an arithmetic number, because the mean of its divisors is an integer number (141711570).

Almost surely, 2^7620661000 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 7620661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069540480).

7620661000 is an abundant number, since it is smaller than the sum of its proper divisors (10518419960).

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

7620661000 is a wasteful number, since it uses less digits than its factorization.

7620661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 7620661000 is about 87296.3974056204. The cubic root of 7620661000 is about 1967.8751772959.

The spelling of 7620661000 in words is "seven billion, six hundred twenty million, six hundred sixty-one thousand".