722180674800 has 2400 divisors, whose sum is σ = 3150638346240. Its totient is φ = 156764160000.

The previous prime is 722180674763. The next prime is 722180674801. The reversal of 722180674800 is 8476081227.

722180674800 is a `hidden beast` number, since 72 + 21 + 80 + 6 + 7 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722180674801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10171558765 + ... + 10171558835.

Almost surely, 2^722180674800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 722180674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575319173120).

722180674800 is an abundant number, since it is smaller than the sum of its proper divisors (2428457671440).

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

722180674800 is a wasteful number, since it uses less digits than its factorization.

722180674800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 722180674800 in words is "seven hundred twenty-two billion, one hundred eighty million, six hundred seventy-four thousand, eight hundred".