672681729024 has 352 divisors, whose sum is σ = 2135505729600. Its totient is φ = 211025461248.

The previous prime is 672681728987. The next prime is 672681729029. The reversal of 672681729024 is 420927186276.

672681729024 is a `hidden beast` number, since 67 + 268 + 17 + 290 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672681729029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38062462 + ... + 38080130.

Almost surely, 2^672681729024 is an apocalyptic number.

672681729024 is a gapful number since it is divisible by the number (64) 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 672681729024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067752864800).

672681729024 is an abundant number, since it is smaller than the sum of its proper divisors (1462824000576).

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

672681729024 is an equidigital number, since it uses as much as digits as its factorization.

672681729024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17727 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 672681729024 in words is "six hundred seventy-two billion, six hundred eighty-one million, seven hundred twenty-nine thousand, twenty-four".