613252490400000 has 5832 divisors, whose sum is σ = 2693235293409024. Its totient is φ = 138910464000000.

The previous prime is 613252490399981. The next prime is 613252490400013. The reversal of 613252490400000 is 4094252316.

It is a happy number.

613252490400000 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 5 + 249 + 0 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 19782338399985 + ... + 19782338400015.

Almost surely, 2^{613252490400000} is an apocalyptic number.

613252490400000 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 613252490400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346617646704512).

613252490400000 is an abundant number, since it is smaller than the sum of its proper divisors (2079982803009024).

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

613252490400000 is an frugal number, since it uses more digits than its factorization.

613252490400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 613252490400000 in words is "six hundred thirteen trillion, two hundred fifty-two billion, four hundred ninety million, four hundred thousand".