672611696640 has 1280 divisors, whose sum is σ = 2790383904000. Its totient is φ = 152202903552.

The previous prime is 672611696639. The next prime is 672611696681. The reversal of 672611696640 is 46696116276.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15642132459 + ... + 15642132501.

It is an arithmetic number, because the mean of its divisors is an integer number (2179987425).

Almost surely, 2^672611696640 is an apocalyptic number.

672611696640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672611696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395191952000).

672611696640 is an abundant number, since it is smaller than the sum of its proper divisors (2117772207360).

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

672611696640 is an equidigital number, since it uses as much as digits as its factorization.

672611696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 672611696640 in words is "six hundred seventy-two billion, six hundred eleven million, six hundred ninety-six thousand, six hundred forty".