646333673076 has 576 divisors, whose sum is σ = 2240868672000. Its totient is φ = 160408055808.

The previous prime is 646333673009. The next prime is 646333673143. The reversal of 646333673076 is 670376333646.

It is an interprime number because it is at equal distance from previous prime (646333673009) and next prime (646333673143).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106424376 + ... + 106430448.

It is an arithmetic number, because the mean of its divisors is an integer number (3890397000).

Almost surely, 2^646333673076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646333673076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120434336000).

646333673076 is an abundant number, since it is smaller than the sum of its proper divisors (1594534998924).

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

646333673076 is a wasteful number, since it uses less digits than its factorization.

646333673076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 54.

The spelling of 646333673076 in words is "six hundred forty-six billion, three hundred thirty-three million, six hundred seventy-three thousand, seventy-six".