180900319472640 has 440 divisors, whose sum is σ = 648307822961040. Its totient is φ = 48235370545152.

The previous prime is 180900319472611. The next prime is 180900319472659. The reversal of 180900319472640 is 46274913009081.

180900319472640 is a `hidden beast` number, since 1 + 80 + 9 + 0 + 0 + 31 + 9 + 472 + 64 + 0 = 666.

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 a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7072207371 + ... + 7072232949.

It is an arithmetic number, because the mean of its divisors is an integer number (1473426870366).

Almost surely, 2^{180900319472640} is an apocalyptic number.

180900319472640 is a gapful number since it is divisible by the number (10) 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 180900319472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324153911480520).

180900319472640 is an abundant number, since it is smaller than the sum of its proper divisors (467407503488400).

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

180900319472640 is a wasteful number, since it uses less digits than its factorization.

180900319472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42669 (or 42642 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 180900319472640 in words is "one hundred eighty trillion, nine hundred billion, three hundred nineteen million, four hundred seventy-two thousand, six hundred forty".