8680372992 has 288 divisors, whose sum is σ = 28067880960. Its totient is φ = 2634301440.

The previous prime is 8680372991. The next prime is 8680372993. The reversal of 8680372992 is 2992730868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8680372991) and next prime (8680372993).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8680372991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641433 + ... + 3643815.

It is an arithmetic number, because the mean of its divisors is an integer number (97457920).

Almost surely, 2^8680372992 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 8680372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033940480).

8680372992 is an abundant number, since it is smaller than the sum of its proper divisors (19387507968).

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

8680372992 is a wasteful number, since it uses less digits than its factorization.

8680372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8680372992 is about 93168.5193184908. The cubic root of 8680372992 is about 2055.1623208135.

The spelling of 8680372992 in words is "eight billion, six hundred eighty million, three hundred seventy-two thousand, nine hundred ninety-two".