672634699776 has 816 divisors, whose sum is σ = 2293155301920. Its totient is φ = 196071653376.

The previous prime is 672634699727. The next prime is 672634699801. The reversal of 672634699776 is 677996436276.

672634699776 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 3 + 469 + 97 + 76 = 666.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35401826295 + ... + 35401826313.

Almost surely, 2^672634699776 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 672634699776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146577650960).

672634699776 is an abundant number, since it is smaller than the sum of its proper divisors (1620520602144).

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

672634699776 is an frugal number, since it uses more digits than its factorization.

672634699776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 37 counting only the distinct ones).

The product of its digits is 864162432, while the sum is 72.

The spelling of 672634699776 in words is "six hundred seventy-two billion, six hundred thirty-four million, six hundred ninety-nine thousand, seven hundred seventy-six".