5906602764720 has 1280 divisors, whose sum is σ = 24614136975360. Its totient is φ = 1273820774400.

The previous prime is 5906602764697. The next prime is 5906602764721. The reversal of 5906602764720 is 274672066095.

5906602764720 is a `hidden beast` number, since 5 + 9 + 0 + 6 + 602 + 7 + 6 + 4 + 7 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5906602764721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2491185135 + ... + 2491187505.

It is an arithmetic number, because the mean of its divisors is an integer number (19229794512).

Almost surely, 2^{5906602764720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5906602764720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307068487680).

5906602764720 is an abundant number, since it is smaller than the sum of its proper divisors (18707534210640).

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

5906602764720 is a wasteful number, since it uses less digits than its factorization.

5906602764720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 5906602764720 in words is "five trillion, nine hundred six billion, six hundred two million, seven hundred sixty-four thousand, seven hundred twenty".