672190682400 has 864 divisors, whose sum is σ = 2574771204096. Its totient is φ = 170916480000.

The previous prime is 672190682399. The next prime is 672190682407. The reversal of 672190682400 is 4286091276.

It is a happy number.

672190682400 is a `hidden beast` number, since 67 + 21 + 90 + 6 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (672190682407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427873615 + ... + 427875185.

It is an arithmetic number, because the mean of its divisors is an integer number (2980059264).

Almost surely, 2^672190682400 is an apocalyptic number.

672190682400 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 672190682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287385602048).

672190682400 is an abundant number, since it is smaller than the sum of its proper divisors (1902580521696).

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

672190682400 is a wasteful number, since it uses less digits than its factorization.

672190682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1683 counting only the distinct ones).

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

The spelling of 672190682400 in words is "six hundred seventy-two billion, one hundred ninety million, six hundred eighty-two thousand, four hundred".