6497828767440 has 640 divisors, whose sum is σ = 23937977395200. Its totient is φ = 1635519361536.

The previous prime is 6497828767403. The next prime is 6497828767483. The reversal of 6497828767440 is 447678287946.

6497828767440 is a `hidden beast` number, since 6 + 4 + 97 + 8 + 28 + 76 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 940756467 + ... + 940763373.

It is an arithmetic number, because the mean of its divisors is an integer number (37403089680).

Almost surely, 2^{6497828767440} is an apocalyptic number.

6497828767440 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 6497828767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968988697600).

6497828767440 is an abundant number, since it is smaller than the sum of its proper divisors (17440148627760).

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

6497828767440 is a wasteful number, since it uses less digits than its factorization.

6497828767440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 6497828767440 in words is "six trillion, four hundred ninety-seven billion, eight hundred twenty-eight million, seven hundred sixty-seven thousand, four hundred forty".