6490951758720 has 768 divisors, whose sum is σ = 26418324441600. Its totient is φ = 1447793049600.

The previous prime is 6490951758691. The next prime is 6490951758749. The reversal of 6490951758720 is 278571590946.

6490951758720 is a `hidden beast` number, since 6 + 4 + 90 + 9 + 517 + 5 + 8 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6490951758691) and next prime (6490951758749).

It is a super-2 number, since 2×6490951758720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256151811 + ... + 256177149.

It is an arithmetic number, because the mean of its divisors is an integer number (34398859950).

Almost surely, 2^{6490951758720} is an apocalyptic number.

6490951758720 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 6490951758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209162220800).

6490951758720 is an abundant number, since it is smaller than the sum of its proper divisors (19927372682880).

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

6490951758720 is a wasteful number, since it uses less digits than its factorization.

6490951758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25699 (or 25684 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 6490951758720 in words is "six trillion, four hundred ninety billion, nine hundred fifty-one million, seven hundred fifty-eight thousand, seven hundred twenty".