84590460864 has 1344 divisors, whose sum is σ = 335203921920. Its totient is φ = 20692869120.

The previous prime is 84590460841. The next prime is 84590460869. The reversal of 84590460864 is 46806409548.

84590460864 is a `hidden beast` number, since 8 + 4 + 590 + 46 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 84590460864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84590460869) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1262544159 + ... + 1262544225.

It is an arithmetic number, because the mean of its divisors is an integer number (249407680).

Almost surely, 2^84590460864 is an apocalyptic number.

84590460864 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 84590460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167601960960).

84590460864 is an abundant number, since it is smaller than the sum of its proper divisors (250613461056).

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

84590460864 is a wasteful number, since it uses less digits than its factorization.

84590460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 84590460864 in words is "eighty-four billion, five hundred ninety million, four hundred sixty thousand, eight hundred sixty-four".