6481172880 has 800 divisors, whose sum is σ = 28735660800. Its totient is φ = 1316818944.

The previous prime is 6481172861. The next prime is 6481172899. The reversal of 6481172880 is 882711846.

It is an interprime number because it is at equal distance from previous prime (6481172861) and next prime (6481172899).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17100531 + ... + 17100909.

It is an arithmetic number, because the mean of its divisors is an integer number (35919576).

Almost surely, 2^6481172880 is an apocalyptic number.

6481172880 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 6481172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367830400).

6481172880 is an abundant number, since it is smaller than the sum of its proper divisors (22254487920).

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

6481172880 is a wasteful number, since it uses less digits than its factorization.

6481172880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 6481172880 is about 80505.7319698417. The cubic root of 6481172880 is about 1864.4519786033.

The spelling of 6481172880 in words is "six billion, four hundred eighty-one million, one hundred seventy-two thousand, eight hundred eighty".