610784880480 has 480 divisors, whose sum is σ = 2228706627840. Its totient is φ = 157366333440.

The previous prime is 610784880469. The next prime is 610784880481. The reversal of 610784880480 is 84088487016.

610784880480 is a `hidden beast` number, since 6 + 1 + 0 + 7 + 84 + 8 + 80 + 480 = 666.

610784880480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610784880481) 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, 493762422 + ... + 493763658.

It is an arithmetic number, because the mean of its divisors is an integer number (4643138808).

Almost surely, 2^610784880480 is an apocalyptic number.

610784880480 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 610784880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114353313920).

610784880480 is an abundant number, since it is smaller than the sum of its proper divisors (1617921747360).

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

610784880480 is a wasteful number, since it uses less digits than its factorization.

610784880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 610784880480 in words is "six hundred ten billion, seven hundred eighty-four million, eight hundred eighty thousand, four hundred eighty".