8468928921600 has 864 divisors, whose sum is σ = 34725613824720. Its totient is φ = 1932735283200.

The previous prime is 8468928921581. The next prime is 8468928921611. The reversal of 8468928921600 is 61298298648.

8468928921600 is a `hidden beast` number, since 8 + 468 + 9 + 2 + 8 + 9 + 2 + 160 + 0 = 666.

It is a super-2 number, since 2×8468928921600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13212057280 + ... + 13212057920.

Almost surely, 2^{8468928921600} is an apocalyptic number.

8468928921600 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 8468928921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362806912360).

8468928921600 is an abundant number, since it is smaller than the sum of its proper divisors (26256684903120).

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

8468928921600 is an frugal number, since it uses more digits than its factorization.

8468928921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 8468928921600 in words is "eight trillion, four hundred sixty-eight billion, nine hundred twenty-eight million, nine hundred twenty-one thousand, six hundred".