84929767120 has 40 divisors (see below), whose sum is σ = 215412775200. Its totient is φ = 30883551360.

The previous prime is 84929767103. The next prime is 84929767147. The reversal of 84929767120 is 2176792948.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48254670 + ... + 48256429.

It is an arithmetic number, because the mean of its divisors is an integer number (5385319380).

Almost surely, 2^84929767120 is an apocalyptic number.

84929767120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84929767120 is an abundant number, since it is smaller than the sum of its proper divisors (130483008080).

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

84929767120 is a wasteful number, since it uses less digits than its factorization.

84929767120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96511123 (or 96511117 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 84929767120 in words is "eighty-four billion, nine hundred twenty-nine million, seven hundred sixty-seven thousand, one hundred twenty".