84057367680000 has 8800 divisors, whose sum is σ = 421180766012160. Its totient is φ = 16349921280000.

The previous prime is 84057367679981. The next prime is 84057367680103. The reversal of 84057367680000 is 8676375048.

84057367680000 is a `hidden beast` number, since 8 + 4 + 0 + 573 + 6 + 7 + 68 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8800).

It is a super-2 number, since 2×84057367680000² (a number of 29 digits) contains 22 as substring.

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 799 ways as a sum of consecutive naturals, for example, 2898529919986 + ... + 2898529920014.

Almost surely, 2^{84057367680000} is an apocalyptic number.

84057367680000 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 84057367680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210590383006080).

84057367680000 is an abundant number, since it is smaller than the sum of its proper divisors (337123398332160).

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

84057367680000 is a wasteful number, since it uses less digits than its factorization.

84057367680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 84057367680000 in words is "eighty-four trillion, fifty-seven billion, three hundred sixty-seven million, six hundred eighty thousand".