84624436680 has 576 divisors, whose sum is σ = 330353121600. Its totient is φ = 17240186880.

The previous prime is 84624436657. The next prime is 84624436823. The reversal of 84624436680 is 8663442648.

It is a super-2 number, since 2×84624436680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32285770 + ... + 32288390.

It is an arithmetic number, because the mean of its divisors is an integer number (573529725).

Almost surely, 2^84624436680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84624436680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165176560800).

84624436680 is an abundant number, since it is smaller than the sum of its proper divisors (245728684920).

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

84624436680 is a wasteful number, since it uses less digits than its factorization.

84624436680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 84624436680 in words is "eighty-four billion, six hundred twenty-four million, four hundred thirty-six thousand, six hundred eighty".