7642618880 has 176 divisors, whose sum is σ = 19877188800. Its totient is φ = 2802843648.

The previous prime is 7642618861. The next prime is 7642618891. The reversal of 7642618880 is 888162467.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13245152 + ... + 13245728.

Almost surely, 2^7642618880 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 7642618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938594400).

7642618880 is an abundant number, since it is smaller than the sum of its proper divisors (12234569920).

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

7642618880 is a wasteful number, since it uses less digits than its factorization.

7642618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The square root of 7642618880 is about 87422.0731852088. The cubic root of 7642618880 is about 1969.7634182127.

The spelling of 7642618880 in words is "seven billion, six hundred forty-two million, six hundred eighteen thousand, eight hundred eighty".