672498892800 has 2160 divisors, whose sum is σ = 3084874117920. Its totient is φ = 142690222080.

The previous prime is 672498892789. The next prime is 672498892853. The reversal of 672498892800 is 8298894276.

672498892800 is a `hidden beast` number, since 67 + 2 + 498 + 8 + 9 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 9212313564 + ... + 9212313636.

It is an arithmetic number, because the mean of its divisors is an integer number (1428182462).

Almost surely, 2^672498892800 is an apocalyptic number.

672498892800 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 672498892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542437058960).

672498892800 is an abundant number, since it is smaller than the sum of its proper divisors (2412375225120).

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

672498892800 is a wasteful number, since it uses less digits than its factorization.

672498892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 672498892800 in words is "six hundred seventy-two billion, four hundred ninety-eight million, eight hundred ninety-two thousand, eight hundred".