6142079664 has 240 divisors, whose sum is σ = 20544462848. Its totient is φ = 1740082176.

The previous prime is 6142079641. The next prime is 6142079683. The reversal of 6142079664 is 4669702416.

6142079664 is a `hidden beast` number, since 614 + 20 + 7 + 9 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3455544 + ... + 3457320.

Almost surely, 2^6142079664 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 6142079664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272231424).

6142079664 is an abundant number, since it is smaller than the sum of its proper divisors (14402383184).

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

6142079664 is a wasteful number, since it uses less digits than its factorization.

6142079664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6142079664 is about 78371.4212197278. The cubic root of 6142079664 is about 1831.3519491068.

The spelling of 6142079664 in words is "six billion, one hundred forty-two million, seventy-nine thousand, six hundred sixty-four".