672029926041600 has 4608 divisors, whose sum is σ = 2964143082700800. Its totient is φ = 147905103790080.

The previous prime is 672029926041553. The next prime is 672029926041629. The reversal of 672029926041600 is 6140629920276.

672029926041600 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 2 + 9 + 9 + 26 + 0 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

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, 4280445388722 + ... + 4280445388878.

It is an arithmetic number, because the mean of its divisors is an integer number (643260217600).

Almost surely, 2^{672029926041600} is an apocalyptic number.

672029926041600 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 672029926041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482071541350400).

672029926041600 is an abundant number, since it is smaller than the sum of its proper divisors (2292113156659200).

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

672029926041600 is a wasteful number, since it uses less digits than its factorization.

672029926041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 672029926041600 in words is "six hundred seventy-two trillion, twenty-nine billion, nine hundred twenty-six million, forty-one thousand, six hundred".