613146790080 has 672 divisors, whose sum is σ = 2482107271488. Its totient is φ = 137252044800.

The previous prime is 613146790051. The next prime is 613146790117. The reversal of 613146790080 is 80097641316.

It is a happy number.

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, 28532940 + ... + 28554420.

Almost surely, 2^613146790080 is an apocalyptic number.

613146790080 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 613146790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241053635744).

613146790080 is an abundant number, since it is smaller than the sum of its proper divisors (1868960481408).

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

613146790080 is a wasteful number, since it uses less digits than its factorization.

613146790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585 (or 21572 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 613146790080 in words is "six hundred thirteen billion, one hundred forty-six million, seven hundred ninety thousand, eighty".