672751094400 has 2304 divisors, whose sum is σ = 3209607072000. Its totient is φ = 134546227200.

The previous prime is 672751094399. The next prime is 672751094419. The reversal of 672751094400 is 4490157276.

672751094400 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 510 + 94 + 40 + 0 = 666.

It is a super-2 number, since 2×672751094400² (a number of 24 digits) contains 22 as substring.

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

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, 2122243042 + ... + 2122243358.

It is an arithmetic number, because the mean of its divisors is an integer number (1393058625).

Almost surely, 2^672751094400 is an apocalyptic number.

672751094400 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 672751094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604803536000).

672751094400 is an abundant number, since it is smaller than the sum of its proper divisors (2536855977600).

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

672751094400 is a wasteful number, since it uses less digits than its factorization.

672751094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 672751094400 in words is "six hundred seventy-two billion, seven hundred fifty-one million, ninety-four thousand, four hundred".