6142774464 has 84 divisors (see below), whose sum is σ = 17719562224. Its totient is φ = 2034519552.

The previous prime is 6142774459. The next prime is 6142774483. The reversal of 6142774464 is 4644772416.

It is a happy number.

6142774464 is a `hidden beast` number, since 614 + 27 + 7 + 4 + 4 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56469 + ... + 124395.

Almost surely, 2^6142774464 is an apocalyptic number.

6142774464 is a gapful number since it is divisible by the number (64) 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 6142774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8859781112).

6142774464 is an abundant number, since it is smaller than the sum of its proper divisors (11576787760).

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

6142774464 is a wasteful number, since it uses less digits than its factorization.

6142774464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68102 (or 68089 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 6142774464 is about 78375.8538326697. The cubic root of 6142774464 is about 1831.4210014706.

The spelling of 6142774464 in words is "six billion, one hundred forty-two million, seven hundred seventy-four thousand, four hundred sixty-four".