5787890640 has 240 divisors, whose sum is σ = 23037775488. Its totient is φ = 1322915328.

The previous prime is 5787890621. The next prime is 5787890653. The reversal of 5787890640 is 460987875.

5787890640 is a `hidden beast` number, since 578 + 7 + 8 + 9 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114814 + ... + 157346.

Almost surely, 2^5787890640 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 5787890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518887744).

5787890640 is an abundant number, since it is smaller than the sum of its proper divisors (17249884848).

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

5787890640 is a wasteful number, since it uses less digits than its factorization.

5787890640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42568 (or 42550 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5787890640 is about 76078.1876755749. The cubic root of 5787890640 is about 1795.4505108815.

The spelling of 5787890640 in words is "five billion, seven hundred eighty-seven million, eight hundred ninety thousand, six hundred forty".