7669912320 has 432 divisors, whose sum is σ = 30534416640. Its totient is φ = 1741234176.

The previous prime is 7669912277. The next prime is 7669912339. The reversal of 7669912320 is 232199667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18305071 + ... + 18305489.

It is an arithmetic number, because the mean of its divisors is an integer number (70681520).

Almost surely, 2^7669912320 is an apocalyptic number.

7669912320 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 7669912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267208320).

7669912320 is an abundant number, since it is smaller than the sum of its proper divisors (22864504320).

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

7669912320 is a wasteful number, since it uses less digits than its factorization.

7669912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 7669912320 is about 87578.0356025413. The cubic root of 7669912320 is about 1972.1054490912.

The spelling of 7669912320 in words is "seven billion, six hundred sixty-nine million, nine hundred twelve thousand, three hundred twenty".