672748675200 has 2400 divisors, whose sum is σ = 3086404421760. Its totient is φ = 143955947520.

The previous prime is 672748675147. The next prime is 672748675259. The reversal of 672748675200 is 2576847276.

672748675200 is a `hidden beast` number, since 6 + 72 + 7 + 48 + 6 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 14313801577 + ... + 14313801623.

Almost surely, 2^672748675200 is an apocalyptic number.

672748675200 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 672748675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543202210880).

672748675200 is an abundant number, since it is smaller than the sum of its proper divisors (2413655746560).

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

672748675200 is an equidigital number, since it uses as much as digits as its factorization.

672748675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 672748675200 in words is "six hundred seventy-two billion, seven hundred forty-eight million, six hundred seventy-five thousand, two hundred".