84874301760 has 224 divisors, whose sum is σ = 277660120320. Its totient is φ = 21955428352.

The previous prime is 84874301749. The next prime is 84874301791. The reversal of 84874301760 is 6710347848.

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 31 ways as a sum of consecutive naturals, for example, 4518949 + ... + 4537691.

Almost surely, 2^84874301760 is an apocalyptic number.

84874301760 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 84874301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138830060160).

84874301760 is an abundant number, since it is smaller than the sum of its proper divisors (192785818560).

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

84874301760 is a wasteful number, since it uses less digits than its factorization.

84874301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18905 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 84874301760 in words is "eighty-four billion, eight hundred seventy-four million, three hundred one thousand, seven hundred sixty".