612568131840 has 864 divisors, whose sum is σ = 2613378733056. Its totient is φ = 129277624320.

The previous prime is 612568131839. The next prime is 612568131853. The reversal of 612568131840 is 48131865216.

612568131840 is a `hidden beast` number, since 6 + 1 + 2 + 568 + 1 + 3 + 1 + 84 + 0 = 666.

It is a super-2 number, since 2×612568131840² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72652425 + ... + 72660855.

It is an arithmetic number, because the mean of its divisors is an integer number (3024743904).

Almost surely, 2^612568131840 is an apocalyptic number.

612568131840 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 612568131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306689366528).

612568131840 is an abundant number, since it is smaller than the sum of its proper divisors (2000810601216).

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

612568131840 is a wasteful number, since it uses less digits than its factorization.

612568131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 612568131840 in words is "six hundred twelve billion, five hundred sixty-eight million, one hundred thirty-one thousand, eight hundred forty".