612132360840 has 1920 divisors, whose sum is σ = 2865686947200. Its totient is φ = 115169402880.

The previous prime is 612132360817. The next prime is 612132360841. The reversal of 612132360840 is 48063231216.

612132360840 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 3 + 2 + 3 + 608 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 612132360795 and 612132360804.

It is not an unprimeable number, because it can be changed into a prime (612132360841) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1339457892 + ... + 1339458348.

It is an arithmetic number, because the mean of its divisors is an integer number (1492545285).

Almost surely, 2^612132360840 is an apocalyptic number.

612132360840 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 612132360840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432843473600).

612132360840 is an abundant number, since it is smaller than the sum of its proper divisors (2253554586360).

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

612132360840 is a wasteful number, since it uses less digits than its factorization.

612132360840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 557 counting only the distinct ones).

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

The spelling of 612132360840 in words is "six hundred twelve billion, one hundred thirty-two million, three hundred sixty thousand, eight hundred forty".