610921824696 has 128 divisors (see below), whose sum is σ = 1725163776000. Its totient is φ = 200283611904.

The previous prime is 610921824683. The next prime is 610921824703. The reversal of 610921824696 is 696428129016.

610921824696 is a `hidden beast` number, since 6 + 10 + 92 + 1 + 82 + 469 + 6 = 666.

610921824696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3921540 + ... + 4074348.

It is an arithmetic number, because the mean of its divisors is an integer number (13477842000).

Almost surely, 2^610921824696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610921824696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862581888000).

610921824696 is an abundant number, since it is smaller than the sum of its proper divisors (1114241951304).

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

610921824696 is a wasteful number, since it uses less digits than its factorization.

610921824696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153130 (or 153120 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 610921824696 in words is "six hundred ten billion, nine hundred twenty-one million, eight hundred twenty-four thousand, six hundred ninety-six".