672507477600 has 1728 divisors, whose sum is σ = 2819219558400. Its totient is φ = 138997555200.

The previous prime is 672507477553. The next prime is 672507477611. The reversal of 672507477600 is 6774705276.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9212431164 + ... + 9212431236.

It is an arithmetic number, because the mean of its divisors is an integer number (1631492800).

Almost surely, 2^672507477600 is an apocalyptic number.

672507477600 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 672507477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409609779200).

672507477600 is an abundant number, since it is smaller than the sum of its proper divisors (2146712080800).

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

672507477600 is a wasteful number, since it uses less digits than its factorization.

672507477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 51.

The spelling of 672507477600 in words is "six hundred seventy-two billion, five hundred seven million, four hundred seventy-seven thousand, six hundred".