84928662720 has 336 divisors, whose sum is σ = 319288290048. Its totient is φ = 20549191680.

The previous prime is 84928662701. The next prime is 84928662739. The reversal of 84928662720 is 2726682948.

84928662720 is a `hidden beast` number, since 8 + 4 + 9 + 2 + 8 + 6 + 627 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84928662701) and next prime (84928662739).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 18593877 + ... + 18598443.

It is an arithmetic number, because the mean of its divisors is an integer number (950262768).

Almost surely, 2^84928662720 is an apocalyptic number.

84928662720 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 84928662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159644145024).

84928662720 is an abundant number, since it is smaller than the sum of its proper divisors (234359627328).

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

84928662720 is a wasteful number, since it uses less digits than its factorization.

84928662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 84928662720 in words is "eighty-four billion, nine hundred twenty-eight million, six hundred sixty-two thousand, seven hundred twenty".