672045492238848 has 3840 divisors, whose sum is σ = 2721861903974400. Its totient is φ = 159559757660160.

The previous prime is 672045492238819. The next prime is 672045492238849. The reversal of 672045492238848 is 848832294540276.

672045492238848 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 4 + 549 + 2 + 2 + 38 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (672045492238849) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1936730525011 + ... + 1936730525357.

It is an arithmetic number, because the mean of its divisors is an integer number (708818204160).

Almost surely, 2^{672045492238848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672045492238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360930951987200).

672045492238848 is an abundant number, since it is smaller than the sum of its proper divisors (2049816411735552).

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

672045492238848 is a wasteful number, since it uses less digits than its factorization.

672045492238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 72.

The spelling of 672045492238848 in words is "six hundred seventy-two trillion, forty-five billion, four hundred ninety-two million, two hundred thirty-eight thousand, eight hundred forty-eight".