6492146976 has 288 divisors, whose sum is σ = 22381107840. Its totient is φ = 1793456640.

The previous prime is 6492146893. The next prime is 6492146977. The reversal of 6492146976 is 6796412946.

It is a happy number.

6492146976 is a `hidden beast` number, since 6 + 492 + 146 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6492146977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5811570 + ... + 5812686.

It is an arithmetic number, because the mean of its divisors is an integer number (77712180).

Almost surely, 2^6492146976 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 6492146976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190553920).

6492146976 is an abundant number, since it is smaller than the sum of its proper divisors (15888960864).

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

6492146976 is a wasteful number, since it uses less digits than its factorization.

6492146976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1160 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 6492146976 is about 80573.8603766755. The cubic root of 6492146976 is about 1865.5036986156.

The spelling of 6492146976 in words is "six billion, four hundred ninety-two million, one hundred forty-six thousand, nine hundred seventy-six".