6492648960 has 840 divisors, whose sum is σ = 27533054736. Its totient is φ = 1463132160.

The previous prime is 6492648941. The next prime is 6492648977. The reversal of 6492648960 is 698462946.

6492648960 is a `hidden beast` number, since 6 + 492 + 64 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 6492648897 and 6492648906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 91445725 + ... + 91445795.

Almost surely, 2^6492648960 is an apocalyptic number.

6492648960 is a gapful number since it is divisible by the number (60) 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 6492648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766527368).

6492648960 is an abundant number, since it is smaller than the sum of its proper divisors (21040405776).

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

6492648960 is an frugal number, since it uses more digits than its factorization.

6492648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 6492648960 is about 80576.9753713801. The cubic root of 6492648960 is about 1865.5517786974.

The spelling of 6492648960 in words is "six billion, four hundred ninety-two million, six hundred forty-eight thousand, nine hundred sixty".