612361138320 has 640 divisors, whose sum is σ = 2202339041280. Its totient is φ = 156273684480.

The previous prime is 612361138313. The next prime is 612361138331. The reversal of 612361138320 is 23831163216.

612361138320 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 611 + 3 + 8 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1668558777 + ... + 1668559143.

It is an arithmetic number, because the mean of its divisors is an integer number (3441154752).

Almost surely, 2^612361138320 is an apocalyptic number.

612361138320 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 612361138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101169520640).

612361138320 is an abundant number, since it is smaller than the sum of its proper divisors (1589977902960).

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

612361138320 is a wasteful number, since it uses less digits than its factorization.

612361138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 612361138320 in words is "six hundred twelve billion, three hundred sixty-one million, one hundred thirty-eight thousand, three hundred twenty".