6499731168000 has 576 divisors, whose sum is σ = 27414447191040. Its totient is φ = 1485651456000.

The previous prime is 6499731167999. The next prime is 6499731168037. The reversal of 6499731168000 is 8611379946.

6499731168000 is a `hidden beast` number, since 6 + 499 + 73 + 1 + 1 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5510655 + ... + 6585345.

Almost surely, 2^{6499731168000} is an apocalyptic number.

6499731168000 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 6499731168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707223595520).

6499731168000 is an abundant number, since it is smaller than the sum of its proper divisors (20914716023040).

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

6499731168000 is a wasteful number, since it uses less digits than its factorization.

6499731168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074738 (or 1074708 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 6499731168000 in words is "six trillion, four hundred ninety-nine billion, seven hundred thirty-one million, one hundred sixty-eight thousand".