5756279040 has 288 divisors, whose sum is σ = 20556426240. Its totient is φ = 1525284864.

The previous prime is 5756279029. The next prime is 5756279057. The reversal of 5756279040 is 409726575.

5756279040 is a `hidden beast` number, since 575 + 6 + 2 + 79 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6669649 + ... + 6670511.

It is an arithmetic number, because the mean of its divisors is an integer number (71376480).

Almost surely, 2^5756279040 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 5756279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278213120).

5756279040 is an abundant number, since it is smaller than the sum of its proper divisors (14800147200).

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

5756279040 is a wasteful number, since it uses less digits than its factorization.

5756279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5756279040 is about 75870.1459073330. The cubic root of 5756279040 is about 1792.1758171459.

The spelling of 5756279040 in words is "five billion, seven hundred fifty-six million, two hundred seventy-nine thousand, forty".