6496012062720 has 416 divisors, whose sum is σ = 23151383145600. Its totient is φ = 1727974342656.

The previous prime is 6496012062713. The next prime is 6496012062721. The reversal of 6496012062720 is 272602106946.

6496012062720 is a `hidden beast` number, since 6 + 4 + 9 + 6 + 0 + 12 + 0 + 627 + 2 + 0 = 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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6496012062721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226146279 + ... + 226175001.

Almost surely, 2^{6496012062720} is an apocalyptic number.

6496012062720 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 6496012062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575691572800).

6496012062720 is an abundant number, since it is smaller than the sum of its proper divisors (16655371082880).

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

6496012062720 is a wasteful number, since it uses less digits than its factorization.

6496012062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29170 (or 29142 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6496012062720 in words is "six trillion, four hundred ninety-six billion, twelve million, sixty-two thousand, seven hundred twenty".