612790711104 has 448 divisors, whose sum is σ = 1975420016640. Its totient is φ = 165084487680.

The previous prime is 612790711103. The next prime is 612790711199. The reversal of 612790711104 is 401117097216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612790711103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448273429 + ... + 448274795.

It is an arithmetic number, because the mean of its divisors is an integer number (4409419680).

Almost surely, 2^612790711104 is an apocalyptic number.

612790711104 is a gapful number since it is divisible by the number (64) 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 612790711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987710008320).

612790711104 is an abundant number, since it is smaller than the sum of its proper divisors (1362629305536).

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

612790711104 is a wasteful number, since it uses less digits than its factorization.

612790711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 612790711104 in words is "six hundred twelve billion, seven hundred ninety million, seven hundred eleven thousand, one hundred four".