672763116100 has 72 divisors (see below), whose sum is σ = 1490552098560. Its totient is φ = 263475588480.

The previous prime is 672763116097. The next prime is 672763116139. The reversal of 672763116100 is 1611367276.

672763116100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×672763116100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2406199 + ... + 2671201.

It is an arithmetic number, because the mean of its divisors is an integer number (20702112480).

Almost surely, 2^672763116100 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 672763116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745276049280).

672763116100 is an abundant number, since it is smaller than the sum of its proper divisors (817788982460).

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

672763116100 is a wasteful number, since it uses less digits than its factorization.

672763116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265549 (or 265542 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 672763116100 in words is "six hundred seventy-two billion, seven hundred sixty-three million, one hundred sixteen thousand, one hundred".