672858976140 has 1152 divisors, whose sum is σ = 2475665337600. Its totient is φ = 153071493120.

The previous prime is 672858976129. The next prime is 672858976147. The reversal of 672858976140 is 41679858276.

672858976140 is a `hidden beast` number, since 6 + 7 + 2 + 8 + 5 + 8 + 9 + 7 + 614 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (672858976147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12695452354 + ... + 12695452406.

It is an arithmetic number, because the mean of its divisors is an integer number (2149015050).

Almost surely, 2^672858976140 is an apocalyptic number.

672858976140 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 672858976140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237832668800).

672858976140 is an abundant number, since it is smaller than the sum of its proper divisors (1802806361460).

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

672858976140 is a wasteful number, since it uses less digits than its factorization.

672858976140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 672858976140 in words is "six hundred seventy-two billion, eight hundred fifty-eight million, nine hundred seventy-six thousand, one hundred forty".