1672387405920 has 864 divisors, whose sum is σ = 7590960546624. Its totient is φ = 327063306240.

The previous prime is 1672387405919. The next prime is 1672387405943. The reversal of 1672387405920 is 295047832761.

It is a happy number.

1672387405920 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 3 + 8 + 7 + 40 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20694232 + ... + 20774888.

It is an arithmetic number, because the mean of its divisors is an integer number (8785833966).

It is a 1-persistent number, because it is pandigital, but 2⋅1672387405920 = 3344774811840 is not.

Almost surely, 2^{1672387405920} is an apocalyptic number.

1672387405920 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 1672387405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795480273312).

1672387405920 is an abundant number, since it is smaller than the sum of its proper divisors (5918573140704).

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

1672387405920 is a wasteful number, since it uses less digits than its factorization.

1672387405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80724 (or 80702 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1672387405920 in words is "one trillion, six hundred seventy-two billion, three hundred eighty-seven million, four hundred five thousand, nine hundred twenty".