8320606930944 has 1536 divisors, whose sum is σ = 32596881408000. Its totient is φ = 2031663513600.

The previous prime is 8320606930931. The next prime is 8320606930967. The reversal of 8320606930944 is 4490396060238.

8320606930944 is a `hidden beast` number, since 8 + 3 + 20 + 606 + 9 + 3 + 0 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×8320606930944² (a number of 27 digits) contains 22 as substring.

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

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, 13186381509 + ... + 13186382139.

It is an arithmetic number, because the mean of its divisors is an integer number (21221928000).

Almost surely, 2^{8320606930944} is an apocalyptic number.

8320606930944 is a gapful number since it is divisible by the number (84) 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 8320606930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298440704000).

8320606930944 is an abundant number, since it is smaller than the sum of its proper divisors (24276274477056).

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

8320606930944 is a wasteful number, since it uses less digits than its factorization.

8320606930944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 8320606930944 in words is "eight trillion, three hundred twenty billion, six hundred six million, nine hundred thirty thousand, nine hundred forty-four".