612792760320 has 960 divisors, whose sum is σ = 2505286143360. Its totient is φ = 141925810176.

The previous prime is 612792760319. The next prime is 612792760397. The reversal of 612792760320 is 23067297216.

612792760320 is a `hidden beast` number, since 6 + 12 + 7 + 9 + 2 + 7 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183304569 + ... + 183307911.

It is an arithmetic number, because the mean of its divisors is an integer number (2609673066).

Almost surely, 2^612792760320 is an apocalyptic number.

612792760320 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 612792760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252643071680).

612792760320 is an abundant number, since it is smaller than the sum of its proper divisors (1892493383040).

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

612792760320 is a wasteful number, since it uses less digits than its factorization.

612792760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 612792760320 in words is "six hundred twelve billion, seven hundred ninety-two million, seven hundred sixty thousand, three hundred twenty".