612073826196480 has 1760 divisors, whose sum is σ = 2400378547691520. Its totient is φ = 148469813084160.

The previous prime is 612073826196479. The next prime is 612073826196493. The reversal of 612073826196480 is 84691628370216.

612073826196480 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 7 + 3 + 8 + 2 + 61 + 96 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 241068855051 + ... + 241068857589.

It is an arithmetic number, because the mean of its divisors is an integer number (1363851447552).

Almost surely, 2^{612073826196480} is an apocalyptic number.

612073826196480 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 612073826196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200189273845760).

612073826196480 is an abundant number, since it is smaller than the sum of its proper divisors (1788304721495040).

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

612073826196480 is a wasteful number, since it uses less digits than its factorization.

612073826196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 612073826196480 in words is "six hundred twelve trillion, seventy-three billion, eight hundred twenty-six million, one hundred ninety-six thousand, four hundred eighty".