646449672960 has 2016 divisors, whose sum is σ = 2990609169408. Its totient is φ = 130069463040.

The previous prime is 646449672949. The next prime is 646449672997. The reversal of 646449672960 is 69276944646.

646449672960 is a `hidden beast` number, since 6 + 4 + 64 + 496 + 7 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1953019995 + ... + 1953020325.

It is an arithmetic number, because the mean of its divisors is an integer number (1483437088).

Almost surely, 2^646449672960 is an apocalyptic number.

646449672960 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 646449672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495304584704).

646449672960 is an abundant number, since it is smaller than the sum of its proper divisors (2344159496448).

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

646449672960 is a wasteful number, since it uses less digits than its factorization.

646449672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 646449672960 in words is "six hundred forty-six billion, four hundred forty-nine million, six hundred seventy-two thousand, nine hundred sixty".