612677330460 has 240 divisors, whose sum is σ = 2088834132000. Its totient is φ = 149428717056.

The previous prime is 612677330459. The next prime is 612677330477. The reversal of 612677330460 is 64033776216.

612677330460 is a `hidden beast` number, since 61 + 2 + 67 + 73 + 3 + 0 + 460 = 666.

It is a super-2 number, since 2×612677330460² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2162091 + ... + 2428989.

It is an arithmetic number, because the mean of its divisors is an integer number (8703475550).

Almost surely, 2^612677330460 is an apocalyptic number.

612677330460 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 612677330460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044417066000).

612677330460 is an abundant number, since it is smaller than the sum of its proper divisors (1476156801540).

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

612677330460 is a wasteful number, since it uses less digits than its factorization.

612677330460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267042 (or 267031 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 612677330460 in words is "six hundred twelve billion, six hundred seventy-seven million, three hundred thirty thousand, four hundred sixty".