813572726400 has 1536 divisors, whose sum is σ = 3673404172800. Its totient is φ = 171603394560.

The previous prime is 813572726387. The next prime is 813572726411. The reversal of 813572726400 is 4627275318.

813572726400 is a `hidden beast` number, since 8 + 1 + 3 + 572 + 72 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×813572726400² (a number of 25 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 191 ways as a sum of consecutive naturals, for example, 544924054 + ... + 544925546.

It is an arithmetic number, because the mean of its divisors is an integer number (2391539175).

Almost surely, 2^813572726400 is an apocalyptic number.

813572726400 is a gapful number since it is divisible by the number (80) 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 813572726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836702086400).

813572726400 is an abundant number, since it is smaller than the sum of its proper divisors (2859831446400).

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

813572726400 is a wasteful number, since it uses less digits than its factorization.

813572726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 813572726400 in words is "eight hundred thirteen billion, five hundred seventy-two million, seven hundred twenty-six thousand, four hundred".