610534932480 has 720 divisors, whose sum is σ = 2339255528064. Its totient is φ = 146064015360.

The previous prime is 610534932479. The next prime is 610534932523. The reversal of 610534932480 is 84239435016.

610534932480 is a `hidden beast` number, since 6 + 1 + 0 + 534 + 9 + 32 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673136187 + ... + 673137093.

Almost surely, 2^610534932480 is an apocalyptic number.

610534932480 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 610534932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169627764032).

610534932480 is an abundant number, since it is smaller than the sum of its proper divisors (1728720595584).

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

610534932480 is a wasteful number, since it uses less digits than its factorization.

610534932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 610534932480 in words is "six hundred ten billion, five hundred thirty-four million, nine hundred thirty-two thousand, four hundred eighty".