672108420096 has 396 divisors, whose sum is σ = 2045072381040. Its totient is φ = 220723937280.

The previous prime is 672108420091. The next prime is 672108420121. The reversal of 672108420096 is 690024801276.

It is a happy number.

672108420096 is a `hidden beast` number, since 6 + 7 + 210 + 8 + 420 + 0 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672108420091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477010240 + ... + 477011648.

Almost surely, 2^672108420096 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 672108420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022536190520).

672108420096 is an abundant number, since it is smaller than the sum of its proper divisors (1372963960944).

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

672108420096 is an frugal number, since it uses more digits than its factorization.

672108420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 672108420096 in words is "six hundred seventy-two billion, one hundred eight million, four hundred twenty thousand, ninety-six".