5787945072 has 840 divisors, whose sum is σ = 22712452560. Its totient is φ = 1410877440.

The previous prime is 5787945061. The next prime is 5787945139. The reversal of 5787945072 is 2705497875.

It is a happy number.

5787945072 is a `hidden beast` number, since 57 + 8 + 79 + 450 + 72 = 666.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 141169372 + ... + 141169412.

It is an arithmetic number, because the mean of its divisors is an integer number (27038634).

Almost surely, 2^5787945072 is an apocalyptic number.

5787945072 is a gapful number since it is divisible by the number (52) 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 5787945072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356226280).

5787945072 is an abundant number, since it is smaller than the sum of its proper divisors (16924507488).

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

5787945072 is a wasteful number, since it uses less digits than its factorization.

5787945072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 5787945072 is about 76078.5454119622. The cubic root of 5787945072 is about 1795.4561392795.

The spelling of 5787945072 in words is "five billion, seven hundred eighty-seven million, nine hundred forty-five thousand, seventy-two".