672089272758540 has 1152 divisors, whose sum is σ = 2633258644144128. Its totient is φ = 134959330344960.

The previous prime is 672089272758529. The next prime is 672089272758611. The reversal of 672089272758540 is 45857272980276.

672089272758540 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 8 + 9 + 2 + 7 + 2 + 75 + 8 + 540 = 666.

It is a super-2 number, since 2×672089272758540² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60131449432 + ... + 60131460608.

It is an arithmetic number, because the mean of its divisors is an integer number (2285814795264).

Almost surely, 2^{672089272758540} is an apocalyptic number.

672089272758540 is a gapful number since it is divisible by the number (60) 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 672089272758540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316629322072064).

672089272758540 is an abundant number, since it is smaller than the sum of its proper divisors (1961169371385588).

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

672089272758540 is a wasteful number, since it uses less digits than its factorization.

672089272758540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 672089272758540 in words is "six hundred seventy-two trillion, eighty-nine billion, two hundred seventy-two million, seven hundred fifty-eight thousand, five hundred forty".