6481638480 has 80 divisors (see below), whose sum is σ = 20198421504. Its totient is φ = 1719375360.

The previous prime is 6481638479. The next prime is 6481638481. The reversal of 6481638480 is 848361846.

It is an interprime number because it is at equal distance from previous prime (6481638479) and next prime (6481638481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481638481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24859 + ... + 116538.

Almost surely, 2^6481638480 is an apocalyptic number.

6481638480 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 6481638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099210752).

6481638480 is an abundant number, since it is smaller than the sum of its proper divisors (13716783024).

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

6481638480 is a wasteful number, since it uses less digits than its factorization.

6481638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141604 (or 141598 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 6481638480 is about 80508.6236374713. The cubic root of 6481638480 is about 1864.4966242290.

The spelling of 6481638480 in words is "six billion, four hundred eighty-one million, six hundred thirty-eight thousand, four hundred eighty".