612400430880 has 384 divisors, whose sum is σ = 2491127654400. Its totient is φ = 137604344832.

The previous prime is 612400430867. The next prime is 612400430923. The reversal of 612400430880 is 88034004216.

612400430880 is a `hidden beast` number, since 612 + 4 + 0 + 0 + 4 + 30 + 8 + 8 + 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 63 ways as a sum of consecutive naturals, for example, 1612539 + ... + 1955781.

It is an arithmetic number, because the mean of its divisors is an integer number (6487311600).

Almost surely, 2^612400430880 is an apocalyptic number.

612400430880 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 612400430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245563827200).

612400430880 is an abundant number, since it is smaller than the sum of its proper divisors (1878727223520).

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

612400430880 is a wasteful number, since it uses less digits than its factorization.

612400430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343333 (or 343319 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 612400430880 in words is "six hundred twelve billion, four hundred million, four hundred thirty thousand, eight hundred eighty".