82733672160 has 120 divisors (see below), whose sum is σ = 291980963736. Its totient is φ = 22062309120.

The previous prime is 82733672107. The next prime is 82733672171. The reversal of 82733672160 is 6127633728.

82733672160 is a `hidden beast` number, since 8 + 2 + 73 + 367 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3178926 + ... + 3204845.

Almost surely, 2^82733672160 is an apocalyptic number.

82733672160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82733672160 is an abundant number, since it is smaller than the sum of its proper divisors (209247291576).

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

82733672160 is a wasteful number, since it uses less digits than its factorization.

82733672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383798 (or 6383781 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 82733672160 in words is "eighty-two billion, seven hundred thirty-three million, six hundred seventy-two thousand, one hundred sixty".