613532021400 has 480 divisors, whose sum is σ = 2208392247600. Its totient is φ = 157678617600.

The previous prime is 613532021341. The next prime is 613532021471. The reversal of 613532021400 is 4120235316.

613532021400 is a `hidden beast` number, since 6 + 1 + 3 + 53 + 202 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 400738635 + ... + 400740165.

Almost surely, 2^613532021400 is an apocalyptic number.

613532021400 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 613532021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104196123800).

613532021400 is an abundant number, since it is smaller than the sum of its proper divisors (1594860226200).

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

613532021400 is a wasteful number, since it uses less digits than its factorization.

613532021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 613532021400 its reverse (4120235316), we get a palindrome (617652256716).

The spelling of 613532021400 in words is "six hundred thirteen billion, five hundred thirty-two million, twenty-one thousand, four hundred".