8672621760 has 504 divisors, whose sum is σ = 33643628928. Its totient is φ = 2047795200.

The previous prime is 8672621759. The next prime is 8672621761. The reversal of 8672621760 is 671262768.

It is an interprime number because it is at equal distance from previous prime (8672621759) and next prime (8672621761).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8672621761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14287377 + ... + 14287983.

It is an arithmetic number, because the mean of its divisors is an integer number (66753232).

Almost surely, 2^8672621760 is an apocalyptic number.

8672621760 is a gapful number since it is divisible by the number (80) 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 8672621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821814464).

8672621760 is an abundant number, since it is smaller than the sum of its proper divisors (24971007168).

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

8672621760 is a wasteful number, since it uses less digits than its factorization.

8672621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8672621760 is about 93126.9121145977. The cubic root of 8672621760 is about 2054.5504122412.

The spelling of 8672621760 in words is "eight billion, six hundred seventy-two million, six hundred twenty-one thousand, seven hundred sixty".