180772929792 has 1152 divisors, whose sum is σ = 693889925120. Its totient is φ = 45148078080.

The previous prime is 180772929769. The next prime is 180772929859. The reversal of 180772929792 is 297929277081.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×180772929792² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1423408833 + ... + 1423408959.

Almost surely, 2^180772929792 is an apocalyptic number.

180772929792 is a gapful number since it is divisible by the number (12) 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 180772929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346944962560).

180772929792 is an abundant number, since it is smaller than the sum of its proper divisors (513116995328).

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

180772929792 is a wasteful number, since it uses less digits than its factorization.

180772929792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 180772929792 in words is "one hundred eighty billion, seven hundred seventy-two million, nine hundred twenty-nine thousand, seven hundred ninety-two".