610468088832 has 880 divisors, whose sum is σ = 2165236161088. Its totient is φ = 167692861440.

The previous prime is 610468088819. The next prime is 610468088833. The reversal of 610468088832 is 238880864016.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (610468088833) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3372751782 + ... + 3372751962.

Almost surely, 2^610468088832 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 610468088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082618080544).

610468088832 is an abundant number, since it is smaller than the sum of its proper divisors (1554768072256).

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

610468088832 is a wasteful number, since it uses less digits than its factorization.

610468088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 610468088832 in words is "six hundred ten billion, four hundred sixty-eight million, eighty-eight thousand, eight hundred thirty-two".