672213738240 has 1296 divisors, whose sum is σ = 2709166116384. Its totient is φ = 159411732480.

The previous prime is 672213738221. The next prime is 672213738253. The reversal of 672213738240 is 42837312276.

672213738240 is a `hidden beast` number, since 6 + 7 + 221 + 3 + 7 + 382 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1994699352 + ... + 1994699688.

It is an arithmetic number, because the mean of its divisors is an integer number (2090405954).

Almost surely, 2^672213738240 is an apocalyptic number.

672213738240 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 672213738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354583058192).

672213738240 is an abundant number, since it is smaller than the sum of its proper divisors (2036952378144).

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

672213738240 is a wasteful number, since it uses less digits than its factorization.

672213738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 672213738240 in words is "six hundred seventy-two billion, two hundred thirteen million, seven hundred thirty-eight thousand, two hundred forty".