613577980800 has 720 divisors, whose sum is σ = 2405556510720. Its totient is φ = 153977241600.

The previous prime is 613577980747. The next prime is 613577980811. The reversal of 613577980800 is 8089775316.

613577980800 is a `hidden beast` number, since 61 + 3 + 577 + 9 + 8 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×613577980800³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 74904705 + ... + 74912895.

Almost surely, 2^613577980800 is an apocalyptic number.

613577980800 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 613577980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202778255360).

613577980800 is an abundant number, since it is smaller than the sum of its proper divisors (1791978529920).

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

613577980800 is a wasteful number, since it uses less digits than its factorization.

613577980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 613577980800 in words is "six hundred thirteen billion, five hundred seventy-seven million, nine hundred eighty thousand, eight hundred".