612422409600 has 1152 divisors, whose sum is σ = 2409798144000. Its totient is φ = 147507609600.

The previous prime is 612422409563. The next prime is 612422409607. The reversal of 612422409600 is 6904224216.

612422409600 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 2 + 2 + 40 + 9 + 600 = 666.

612422409600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×612422409600² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612422409607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1340092572 + ... + 1340093028.

Almost surely, 2^612422409600 is an apocalyptic number.

612422409600 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 612422409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204899072000).

612422409600 is an abundant number, since it is smaller than the sum of its proper divisors (1797375734400).

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

612422409600 is a wasteful number, since it uses less digits than its factorization.

612422409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 612422409600 in words is "six hundred twelve billion, four hundred twenty-two million, four hundred nine thousand, six hundred".