4082736746880 has 768 divisors, whose sum is σ = 15690280919040. Its totient is φ = 969971466240.

The previous prime is 4082736746863. The next prime is 4082736746903. The reversal of 4082736746880 is 886476372804.

4082736746880 is a `hidden beast` number, since 40 + 8 + 2 + 73 + 67 + 468 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 667874704 + ... + 667880816.

It is an arithmetic number, because the mean of its divisors is an integer number (20430053280).

Almost surely, 2^{4082736746880} is an apocalyptic number.

4082736746880 is a gapful number since it is divisible by the number (40) 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 4082736746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845140459520).

4082736746880 is an abundant number, since it is smaller than the sum of its proper divisors (11607544172160).

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

4082736746880 is a wasteful number, since it uses less digits than its factorization.

4082736746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 4082736746880 in words is "four trillion, eighty-two billion, seven hundred thirty-six million, seven hundred forty-six thousand, eight hundred eighty".