612406817280 has 240 divisors, whose sum is σ = 2213153616960. Its totient is φ = 156207980544.

The previous prime is 612406817279. The next prime is 612406817371. The reversal of 612406817280 is 82718604216.

612406817280 is a `hidden beast` number, since 61 + 240 + 68 + 17 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 47910 + ... + 1107749.

It is an arithmetic number, because the mean of its divisors is an integer number (9221473404).

Almost surely, 2^612406817280 is an apocalyptic number.

612406817280 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 612406817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106576808480).

612406817280 is an abundant number, since it is smaller than the sum of its proper divisors (1600746799680).

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

612406817280 is a wasteful number, since it uses less digits than its factorization.

612406817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155711 (or 1155692 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 612406817280 in words is "six hundred twelve billion, four hundred six million, eight hundred seventeen thousand, two hundred eighty".