6481013616 has 270 divisors, whose sum is σ = 23194645656. Its totient is φ = 1683158400.

The previous prime is 6481013611. The next prime is 6481013633. The reversal of 6481013616 is 6163101846.

6481013616 is a `hidden beast` number, since 648 + 1 + 0 + 1 + 3 + 6 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481013611) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 849981 + ... + 857571.

Almost surely, 2^6481013616 is an apocalyptic number.

6481013616 is a gapful number since it is divisible by the number (66) 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 6481013616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597322828).

6481013616 is an abundant number, since it is smaller than the sum of its proper divisors (16713632040).

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

6481013616 is a wasteful number, since it uses less digits than its factorization.

6481013616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6481013616 is about 80504.7428168055. The cubic root of 6481013616 is about 1864.4367065470.

The spelling of 6481013616 in words is "six billion, four hundred eighty-one million, thirteen thousand, six hundred sixteen".