612881264160 has 1344 divisors, whose sum is σ = 2576494448640. Its totient is φ = 136048896000.

The previous prime is 612881264147. The next prime is 612881264189. The reversal of 612881264160 is 61462188216.

It is a happy number.

612881264160 is a `hidden beast` number, since 612 + 8 + 8 + 1 + 26 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 755710155 + ... + 755710965.

It is an arithmetic number, because the mean of its divisors is an integer number (1917034560).

Almost surely, 2^612881264160 is an apocalyptic number.

612881264160 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 612881264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288247224320).

612881264160 is an abundant number, since it is smaller than the sum of its proper divisors (1963613184480).

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

612881264160 is a wasteful number, since it uses less digits than its factorization.

612881264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 612881264160 in words is "six hundred twelve billion, eight hundred eighty-one million, two hundred sixty-four thousand, one hundred sixty".