646980480 has 128 divisors (see below), whose sum is σ = 2291450400. Its totient is φ = 172523520.

The previous prime is 646980479. The next prime is 646980491. The reversal of 646980480 is 84089646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 36000.

Almost surely, 2^646980480 is an apocalyptic number.

646980480 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 646980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145725200).

646980480 is an abundant number, since it is smaller than the sum of its proper divisors (1644469920).

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

646980480 is a wasteful number, since it uses less digits than its factorization.

646980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37469 (or 37451 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 646980480 is about 25435.8109758663. The cubic root of 646980480 is about 864.8956761039.

The spelling of 646980480 in words is "six hundred forty-six million, nine hundred eighty thousand, four hundred eighty".