612777984000 has 1152 divisors, whose sum is σ = 2528249697792. Its totient is φ = 128345702400.

The previous prime is 612777983969. The next prime is 612777984023. The reversal of 612777984000 is 489777216.

It is a super-3 number, since 3×612777984000³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4472831932 + ... + 4472832068.

It is an arithmetic number, because the mean of its divisors is an integer number (2194661196).

Almost surely, 2^612777984000 is an apocalyptic number.

612777984000 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 612777984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264124848896).

612777984000 is an abundant number, since it is smaller than the sum of its proper divisors (1915471713792).

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

612777984000 is an equidigital number, since it uses as much as digits as its factorization.

612777984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 612777984000 in words is "six hundred twelve billion, seven hundred seventy-seven million, nine hundred eighty-four thousand".