6481153765296 has 480 divisors, whose sum is σ = 21876494814720. Its totient is φ = 1819231653888.

The previous prime is 6481153765217. The next prime is 6481153765301. The reversal of 6481153765296 is 6925673511846.

It is a happy number.

6481153765296 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 1 + 537 + 6 + 5 + 2 + 96 = 666.

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

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, 709326040 + ... + 709335176.

It is an arithmetic number, because the mean of its divisors is an integer number (45576030864).

Almost surely, 2^{6481153765296} 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 6481153765296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938247407360).

6481153765296 is an abundant number, since it is smaller than the sum of its proper divisors (15395341049424).

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

6481153765296 is a wasteful number, since it uses less digits than its factorization.

6481153765296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9605 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 6481153765296 in words is "six trillion, four hundred eighty-one billion, one hundred fifty-three million, seven hundred sixty-five thousand, two hundred ninety-six".