612741735840 has 384 divisors, whose sum is σ = 2204254321920. Its totient is φ = 141738835968.

The previous prime is 612741735833. The next prime is 612741735847. The reversal of 612741735840 is 48537147216.

It is an interprime number because it is at equal distance from previous prime (612741735833) and next prime (612741735847).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 612741735840.

It is not an unprimeable number, because it can be changed into a prime (612741735847) 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, 75206647 + ... + 75214793.

It is an arithmetic number, because the mean of its divisors is an integer number (5740245630).

Almost surely, 2^612741735840 is an apocalyptic number.

612741735840 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 612741735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102127160960).

612741735840 is an abundant number, since it is smaller than the sum of its proper divisors (1591512586080).

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

612741735840 is a wasteful number, since it uses less digits than its factorization.

612741735840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 612741735840 in words is "six hundred twelve billion, seven hundred forty-one million, seven hundred thirty-five thousand, eight hundred forty".