672766075056474 has 384 divisors, whose sum is σ = 1914779176128000. Its totient is φ = 166087682703360.

The previous prime is 672766075056461. The next prime is 672766075056479. The reversal of 672766075056474 is 474650570667276.

672766075056474 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 6 + 6 + 0 + 7 + 50 + 564 + 7 + 4 = 666.

It is a super-2 number, since 2×672766075056474² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (672766075056479) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247271104 + ... + 249977060.

It is an arithmetic number, because the mean of its divisors is an integer number (4986404104500).

Almost surely, 2^{672766075056474} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672766075056474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957389588064000).

672766075056474 is an abundant number, since it is smaller than the sum of its proper divisors (1242013101071526).

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

672766075056474 is a wasteful number, since it uses less digits than its factorization.

672766075056474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706198 (or 2706195 counting only the distinct ones).

The product of its (nonzero) digits is 2489356800, while the sum is 72.

The spelling of 672766075056474 in words is "six hundred seventy-two trillion, seven hundred sixty-six billion, seventy-five million, fifty-six thousand, four hundred seventy-four".