5906288640 has 416 divisors, whose sum is σ = 22344523776. Its totient is φ = 1303511040.

The previous prime is 5906288627. The next prime is 5906288723. The reversal of 5906288640 is 468826095.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5906288640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13332259 + ... + 13332701.

Almost surely, 2^5906288640 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 5906288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172261888).

5906288640 is an abundant number, since it is smaller than the sum of its proper divisors (16438235136).

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

5906288640 is a wasteful number, since it uses less digits than its factorization.

5906288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 5906288640 is about 76852.3821361446. The cubic root of 5906288640 is about 1807.6106400444.

The spelling of 5906288640 in words is "five billion, nine hundred six million, two hundred eighty-eight thousand, six hundred forty".