1672280709120 has 768 divisors, whose sum is σ = 6860415744000. Its totient is φ = 378479443968.

The previous prime is 1672280709119. The next prime is 1672280709157. The reversal of 1672280709120 is 219070822761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 199337886 + ... + 199346274.

It is an arithmetic number, because the mean of its divisors is an integer number (8932833000).

Almost surely, 2^{1672280709120} is an apocalyptic number.

1672280709120 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 1672280709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430207872000).

1672280709120 is an abundant number, since it is smaller than the sum of its proper divisors (5188135034880).

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

1672280709120 is a wasteful number, since it uses less digits than its factorization.

1672280709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8535 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1672280709120 in words is "one trillion, six hundred seventy-two billion, two hundred eighty million, seven hundred nine thousand, one hundred twenty".