8490379564800 has 3024 divisors, whose sum is σ = 38296268881920. Its totient is φ = 1820972482560.

The previous prime is 8490379564753. The next prime is 8490379564817. The reversal of 8490379564800 is 84659730948.

8490379564800 is a `hidden beast` number, since 8 + 490 + 3 + 7 + 9 + 5 + 64 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 335 ways as a sum of consecutive naturals, for example, 66853382337 + ... + 66853382463.

It is an arithmetic number, because the mean of its divisors is an integer number (12664110080).

Almost surely, 2^{8490379564800} is an apocalyptic number.

8490379564800 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 8490379564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148134440960).

8490379564800 is an abundant number, since it is smaller than the sum of its proper divisors (29805889317120).

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

8490379564800 is a wasteful number, since it uses less digits than its factorization.

8490379564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8490379564800 in words is "eight trillion, four hundred ninety billion, three hundred seventy-nine million, five hundred sixty-four thousand, eight hundred".