7664617920 has 112 divisors (see below), whose sum is σ = 24643445760. Its totient is φ = 2018006016.

The previous prime is 7664617907. The next prime is 7664617951. The reversal of 7664617920 is 297164667.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7664617920.

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, 25309 + ... + 126371.

Almost surely, 2^7664617920 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 7664617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321722880).

7664617920 is an abundant number, since it is smaller than the sum of its proper divisors (16978827840).

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

7664617920 is a wasteful number, since it uses less digits than its factorization.

7664617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101162 (or 101152 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 7664617920 is about 87547.8036275040. The cubic root of 7664617920 is about 1971.6515752174.

The spelling of 7664617920 in words is "seven billion, six hundred sixty-four million, six hundred seventeen thousand, nine hundred twenty".