612680785920 has 2240 divisors, whose sum is σ = 2776929509376. Its totient is φ = 126127964160.

The previous prime is 612680785819. The next prime is 612680785931. The reversal of 612680785920 is 29587086216.

It is a tau number, because it is divible by the number of its divisors (2240).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16558940142 + ... + 16558940178.

Almost surely, 2^612680785920 is an apocalyptic number.

612680785920 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 612680785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388464754688).

612680785920 is an abundant number, since it is smaller than the sum of its proper divisors (2164248723456).

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

612680785920 is a wasteful number, since it uses less digits than its factorization.

612680785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 612680785920 in words is "six hundred twelve billion, six hundred eighty million, seven hundred eighty-five thousand, nine hundred twenty".