5742779040 has 192 divisors, whose sum is σ = 20400750720. Its totient is φ = 1508474880.

The previous prime is 5742779033. The next prime is 5742779087. The reversal of 5742779040 is 409772475.

5742779040 is a `hidden beast` number, since 574 + 2 + 7 + 79 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×5742779040² = 65959022204526643200, which contains 22 as substring.

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, 279520 + ... + 299360.

It is an arithmetic number, because the mean of its divisors is an integer number (106253910).

Almost surely, 2^5742779040 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 5742779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200375360).

5742779040 is an abundant number, since it is smaller than the sum of its proper divisors (14657971680).

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

5742779040 is a wasteful number, since it uses less digits than its factorization.

5742779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19932 (or 19918 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 5742779040 is about 75781.1258823726. The cubic root of 5742779040 is about 1790.7736780141.

The spelling of 5742779040 in words is "five billion, seven hundred forty-two million, seven hundred seventy-nine thousand, forty".