672011578368 has 792 divisors, whose sum is σ = 2187909584640. Its totient is φ = 198459555840.

The previous prime is 672011578361. The next prime is 672011578391. The reversal of 672011578368 is 863875110276.

It is a happy number.

672011578368 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 1 + 1 + 578 + 3 + 68 = 666.

It is a super-2 number, since 2×672011578368² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (672011578361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6524384205 + ... + 6524384307.

Almost surely, 2^672011578368 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 672011578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093954792320).

672011578368 is an abundant number, since it is smaller than the sum of its proper divisors (1515898006272).

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

672011578368 is a wasteful number, since it uses less digits than its factorization.

672011578368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 672011578368 in words is "six hundred seventy-two billion, eleven million, five hundred seventy-eight thousand, three hundred sixty-eight".