5861264640 has 576 divisors, whose sum is σ = 23933048832. Its totient is φ = 1187020800.

The previous prime is 5861264611. The next prime is 5861264653. The reversal of 5861264640 is 464621685.

It is a super-2 number, since 2×5861264640² = 68708846360228659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5861264592 and 5861264601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12714010 + ... + 12714470.

It is an arithmetic number, because the mean of its divisors is an integer number (41550432).

Almost surely, 2^5861264640 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 5861264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966524416).

5861264640 is an abundant number, since it is smaller than the sum of its proper divisors (18071784192).

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

5861264640 is a wasteful number, since it uses less digits than its factorization.

5861264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 5861264640 is about 76558.8965437721. The cubic root of 5861264640 is about 1803.0057434751.

The spelling of 5861264640 in words is "five billion, eight hundred sixty-one million, two hundred sixty-four thousand, six hundred forty".