6496840369152 has 440 divisors, whose sum is σ = 22202741939840. Its totient is φ = 1853698867200.

The previous prime is 6496840369127. The next prime is 6496840369153. The reversal of 6496840369152 is 2519630486946.

6496840369152 is a `hidden beast` number, since 6 + 4 + 96 + 8 + 403 + 6 + 91 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6496840369152.

It is not an unprimeable number, because it can be changed into a prime (6496840369153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 446480277 + ... + 446494827.

It is an arithmetic number, because the mean of its divisors is an integer number (50460777136).

Almost surely, 2^{6496840369152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6496840369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101370969920).

6496840369152 is an abundant number, since it is smaller than the sum of its proper divisors (15705901570688).

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

6496840369152 is a wasteful number, since it uses less digits than its factorization.

6496840369152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15359 (or 15332 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 6496840369152 in words is "six trillion, four hundred ninety-six billion, eight hundred forty million, three hundred sixty-nine thousand, one hundred fifty-two".