8628927943680 has 1408 divisors, whose sum is σ = 35213692723200. Its totient is φ = 1999929507840.

The previous prime is 8628927943631. The next prime is 8628927943793. The reversal of 8628927943680 is 863497298268.

8628927943680 is a `hidden beast` number, since 8 + 6 + 28 + 92 + 7 + 9 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8628927943599 and 8628927943608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4231940101 + ... + 4231942139.

Almost surely, 2^{8628927943680} is an apocalyptic number.

8628927943680 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 8628927943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606846361600).

8628927943680 is an abundant number, since it is smaller than the sum of its proper divisors (26584764779520).

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

8628927943680 is a wasteful number, since it uses less digits than its factorization.

8628927943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 8628927943680 in words is "eight trillion, six hundred twenty-eight billion, nine hundred twenty-seven million, nine hundred forty-three thousand, six hundred eighty".