6542992456 has 128 divisors (see below), whose sum is σ = 17339212800. Its totient is φ = 2229223680.

The previous prime is 6542992451. The next prime is 6542992481.

6542992456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6542992451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130651 + ... + 173653.

It is an arithmetic number, because the mean of its divisors is an integer number (135462600).

Almost surely, 2^6542992456 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 6542992456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669606400).

6542992456 is an abundant number, since it is smaller than the sum of its proper divisors (10796220344).

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

6542992456 is a wasteful number, since it uses less digits than its factorization.

6542992456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43059 (or 43055 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The square root of 6542992456 is about 80888.7659443510. The cubic root of 6542992456 is about 1870.3611507565.

The spelling of 6542992456 in words is "six billion, five hundred forty-two million, nine hundred ninety-two thousand, four hundred fifty-six".