612733992000 has 448 divisors, whose sum is σ = 2307071579904. Its totient is φ = 141953433600.

The previous prime is 612733991971. The next prime is 612733992007. The reversal of 612733992000 is 299337216.

It is not an unprimeable number, because it can be changed into a prime (612733992007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5246239 + ... + 5361761.

It is an arithmetic number, because the mean of its divisors is an integer number (5149713348).

Almost surely, 2^612733992000 is an apocalyptic number.

612733992000 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 612733992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153535789952).

612733992000 is an abundant number, since it is smaller than the sum of its proper divisors (1694337587904).

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

612733992000 is a wasteful number, since it uses less digits than its factorization.

612733992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115583 (or 115563 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 612733992000 in words is "six hundred twelve billion, seven hundred thirty-three million, nine hundred ninety-two thousand".