4006720927680 has 448 divisors, whose sum is σ = 13150786682880. Its totient is φ = 1033026048000.

The previous prime is 4006720927639. The next prime is 4006720927687. The reversal of 4006720927680 is 867290276004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006720927687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301304381 + ... + 1301307459.

It is an arithmetic number, because the mean of its divisors is an integer number (29354434560).

Almost surely, 2^{4006720927680} is an apocalyptic number.

4006720927680 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 4006720927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575393341440).

4006720927680 is an abundant number, since it is smaller than the sum of its proper divisors (9144065755200).

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

4006720927680 is a wasteful number, since it uses less digits than its factorization.

4006720927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 4006720927680 in words is "four trillion, six billion, seven hundred twenty million, nine hundred twenty-seven thousand, six hundred eighty".