8676944640000 has 3840 divisors, whose sum is σ = 41264391168000. Its totient is φ = 1751777280000.

The previous prime is 8676944639953. The next prime is 8676944640037. The reversal of 8676944640000 is 464496768.

8676944640000 is a `hidden beast` number, since 86 + 76 + 94 + 4 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 97493759956 + ... + 97493760044.

It is an arithmetic number, because the mean of its divisors is an integer number (10745935200).

Almost surely, 2^{8676944640000} is an apocalyptic number.

8676944640000 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 8676944640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632195584000).

8676944640000 is an abundant number, since it is smaller than the sum of its proper divisors (32587446528000).

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

8676944640000 is a wasteful number, since it uses less digits than its factorization.

8676944640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8676944640000 in words is "eight trillion, six hundred seventy-six billion, nine hundred forty-four million, six hundred forty thousand".