646432726140 has 576 divisors, whose sum is σ = 2224734220800. Its totient is φ = 156936600576.

The previous prime is 646432726103. The next prime is 646432726171. The reversal of 646432726140 is 41627234646.

646432726140 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 3 + 27 + 2 + 614 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 757833954 + ... + 757834806.

It is an arithmetic number, because the mean of its divisors is an integer number (3862385800).

Almost surely, 2^646432726140 is an apocalyptic number.

646432726140 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 646432726140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112367110400).

646432726140 is an abundant number, since it is smaller than the sum of its proper divisors (1578301494660).

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

646432726140 is a wasteful number, since it uses less digits than its factorization.

646432726140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 646432726140 in words is "six hundred forty-six billion, four hundred thirty-two million, seven hundred twenty-six thousand, one hundred forty".