643037996160 has 1024 divisors, whose sum is σ = 2772859392000. Its totient is φ = 137482665984.

The previous prime is 643037996119. The next prime is 643037996189. The reversal of 643037996160 is 61699730346.

643037996160 is a `hidden beast` number, since 6 + 430 + 3 + 7 + 99 + 61 + 60 = 666.

It is a super-3 number, since 3×643037996160³ (a number of 36 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 643037996097 and 643037996106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368080407 + ... + 368082153.

It is an arithmetic number, because the mean of its divisors is an integer number (2707870500).

Almost surely, 2^643037996160 is an apocalyptic number.

643037996160 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 643037996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386429696000).

643037996160 is an abundant number, since it is smaller than the sum of its proper divisors (2129821395840).

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

643037996160 is a wasteful number, since it uses less digits than its factorization.

643037996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 643037996160 in words is "six hundred forty-three billion, thirty-seven million, nine hundred ninety-six thousand, one hundred sixty".