84630927360 has 768 divisors, whose sum is σ = 328899916800. Its totient is φ = 18166579200.

The previous prime is 84630927347. The next prime is 84630927371. The reversal of 84630927360 is 6372903648.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255682395 + ... + 255682725.

It is an arithmetic number, because the mean of its divisors is an integer number (428255100).

Almost surely, 2^84630927360 is an apocalyptic number.

84630927360 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 84630927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164449958400).

84630927360 is an abundant number, since it is smaller than the sum of its proper divisors (244268989440).

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

84630927360 is a wasteful number, since it uses less digits than its factorization.

84630927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 84630927360 in words is "eighty-four billion, six hundred thirty million, nine hundred twenty-seven thousand, three hundred sixty".