643286513100 has 432 divisors, whose sum is σ = 2449101747456. Its totient is φ = 126633024000.

The previous prime is 643286513099. The next prime is 643286513143. The reversal of 643286513100 is 1315682346.

It is a super-2 number, since 2×643286513100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8300530 + ... + 8377670.

It is an arithmetic number, because the mean of its divisors is an integer number (5669217008).

Almost surely, 2^643286513100 is an apocalyptic number.

643286513100 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 643286513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224550873728).

643286513100 is an abundant number, since it is smaller than the sum of its proper divisors (1805815234356).

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

643286513100 is a wasteful number, since it uses less digits than its factorization.

643286513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77214 (or 77188 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 643286513100 in words is "six hundred forty-three billion, two hundred eighty-six million, five hundred thirteen thousand, one hundred".