646033597440 has 2112 divisors, whose sum is σ = 2890443128832. Its totient is φ = 119899422720.

The previous prime is 646033597439. The next prime is 646033597459. The reversal of 646033597440 is 44795330646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5086878657 + ... + 5086878783.

Almost surely, 2^646033597440 is an apocalyptic number.

646033597440 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 646033597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445221564416).

646033597440 is an abundant number, since it is smaller than the sum of its proper divisors (2244409531392).

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

646033597440 is a wasteful number, since it uses less digits than its factorization.

646033597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 646033597440 in words is "six hundred forty-six billion, thirty-three million, five hundred ninety-seven thousand, four hundred forty".