613669478400 has 2016 divisors, whose sum is σ = 2662067116800. Its totient is φ = 138549657600.

The previous prime is 613669478393. The next prime is 613669478407. The reversal of 613669478400 is 4874966316.

613669478400 is a `hidden beast` number, since 6 + 136 + 69 + 47 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (613669478393) and next prime (613669478407).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (613669478407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10401177571 + ... + 10401177629.

It is an arithmetic number, because the mean of its divisors is an integer number (1320469800).

Almost surely, 2^613669478400 is an apocalyptic number.

613669478400 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 613669478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331033558400).

613669478400 is an abundant number, since it is smaller than the sum of its proper divisors (2048397638400).

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

613669478400 is a wasteful number, since it uses less digits than its factorization.

613669478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 613669478400 in words is "six hundred thirteen billion, six hundred sixty-nine million, four hundred seventy-eight thousand, four hundred".