6142534776 has 512 divisors, whose sum is σ = 21738240000. Its totient is φ = 1567641600.

The previous prime is 6142534771. The next prime is 6142534793. The reversal of 6142534776 is 6774352416.

6142534776 is a `hidden beast` number, since 6 + 1 + 42 + 534 + 7 + 76 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142534771) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60817126 + ... + 60817226.

It is an arithmetic number, because the mean of its divisors is an integer number (42457500).

Almost surely, 2^6142534776 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 6142534776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869120000).

6142534776 is an abundant number, since it is smaller than the sum of its proper divisors (15595705224).

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

6142534776 is a wasteful number, since it uses less digits than its factorization.

6142534776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 6142534776 is about 78374.3247243637. The cubic root of 6142534776 is about 1831.3971807823.

The spelling of 6142534776 in words is "six billion, one hundred forty-two million, five hundred thirty-four thousand, seven hundred seventy-six".