672350674464 has 384 divisors, whose sum is σ = 2365796160000. Its totient is φ = 185473677312.

The previous prime is 672350674427. The next prime is 672350674553. The reversal of 672350674464 is 464476053276.

672350674464 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 506 + 74 + 4 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 672350674464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8555092 + ... + 8633324.

It is an arithmetic number, because the mean of its divisors is an integer number (6160927500).

Almost surely, 2^672350674464 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 672350674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182898080000).

672350674464 is an abundant number, since it is smaller than the sum of its proper divisors (1693445485536).

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

672350674464 is a wasteful number, since it uses less digits than its factorization.

672350674464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78302 (or 78274 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 672350674464 in words is "six hundred seventy-two billion, three hundred fifty million, six hundred seventy-four thousand, four hundred sixty-four".