84601889648640 has 2496 divisors, whose sum is σ = 378677400192000. Its totient is φ = 17641097920512.

The previous prime is 84601889648621. The next prime is 84601889648657. The reversal of 84601889648640 is 4684698810648.

84601889648640 is a `hidden beast` number, since 8 + 4 + 6 + 0 + 18 + 8 + 96 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40305806311 + ... + 40305808409.

It is an arithmetic number, because the mean of its divisors is an integer number (151713702000).

Almost surely, 2^{84601889648640} is an apocalyptic number.

84601889648640 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 84601889648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189338700096000).

84601889648640 is an abundant number, since it is smaller than the sum of its proper divisors (294075510543360).

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

84601889648640 is a wasteful number, since it uses less digits than its factorization.

84601889648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 84601889648640 in words is "eighty-four trillion, six hundred one billion, eight hundred eighty-nine million, six hundred forty-eight thousand, six hundred forty".