84506612064 has 288 divisors, whose sum is σ = 272585972736. Its totient is φ = 22820797440.

The previous prime is 84506612041. The next prime is 84506612123. The reversal of 84506612064 is 46021660548.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6263694 + ... + 6277170.

It is an arithmetic number, because the mean of its divisors is an integer number (946479072).

Almost surely, 2^84506612064 is an apocalyptic number.

84506612064 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 84506612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136292986368).

84506612064 is an abundant number, since it is smaller than the sum of its proper divisors (188079360672).

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

84506612064 is a wasteful number, since it uses less digits than its factorization.

84506612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13578 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 84506612064 in words is "eighty-four billion, five hundred six million, six hundred twelve thousand, sixty-four".