6181914480 has 480 divisors, whose sum is σ = 23850259200. Its totient is φ = 1316818944.

The previous prime is 6181914467. The next prime is 6181914509. The reversal of 6181914480 is 844191816.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 16310931 + ... + 16311309.

It is an arithmetic number, because the mean of its divisors is an integer number (49688040).

Almost surely, 2^6181914480 is an apocalyptic number.

6181914480 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 6181914480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925129600).

6181914480 is an abundant number, since it is smaller than the sum of its proper divisors (17668344720).

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

6181914480 is a wasteful number, since it uses less digits than its factorization.

6181914480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 6181914480 is about 78625.1517009665. The cubic root of 6181914480 is about 1835.3025340963.

The spelling of 6181914480 in words is "six billion, one hundred eighty-one million, nine hundred fourteen thousand, four hundred eighty".