7663232920 has 128 divisors (see below), whose sum is σ = 21064458240. Its totient is φ = 2451778560.

The previous prime is 7663232887. The next prime is 7663232933. The reversal of 7663232920 is 292323667.

It is a super-3 number, since 3×7663232920³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 249529 + ... + 278551.

It is an arithmetic number, because the mean of its divisors is an integer number (164566080).

Almost surely, 2^7663232920 is an apocalyptic number.

7663232920 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 7663232920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532229120).

7663232920 is an abundant number, since it is smaller than the sum of its proper divisors (13401225320).

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

7663232920 is a wasteful number, since it uses less digits than its factorization.

7663232920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29105 (or 29101 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 7663232920 is about 87539.8933058523. The cubic root of 7663232920 is about 1971.5328086132.

The spelling of 7663232920 in words is "seven billion, six hundred sixty-three million, two hundred thirty-two thousand, nine hundred twenty".