84928757760 has 1296 divisors, whose sum is σ = 391603893408. Its totient is φ = 16609443840.

The previous prime is 84928757759. The next prime is 84928757773. The reversal of 84928757760 is 6775782948.

84928757760 is a `hidden beast` number, since 8 + 492 + 8 + 75 + 7 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4995809272 + ... + 4995809288.

It is an arithmetic number, because the mean of its divisors is an integer number (302163498).

Almost surely, 2^84928757760 is an apocalyptic number.

84928757760 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 84928757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195801946704).

84928757760 is an abundant number, since it is smaller than the sum of its proper divisors (306675135648).

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

84928757760 is a wasteful number, since it uses less digits than its factorization.

84928757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 84928757760 in words is "eighty-four billion, nine hundred twenty-eight million, seven hundred fifty-seven thousand, seven hundred sixty".