6117396480 has 832 divisors, whose sum is σ = 25099845120. Its totient is φ = 1401421824.

The previous prime is 6117396463. The next prime is 6117396487. The reversal of 6117396480 is 846937116.

It is a happy number.

6117396480 is a `hidden beast` number, since 6 + 11 + 73 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is not an unprimeable number, because it can be changed into a prime (6117396487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165335022 + ... + 165335058.

Almost surely, 2^6117396480 is an apocalyptic number.

6117396480 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 6117396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549922560).

6117396480 is an abundant number, since it is smaller than the sum of its proper divisors (18982448640).

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

6117396480 is a wasteful number, since it uses less digits than its factorization.

6117396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6117396480 is about 78213.7870199366. The cubic root of 6117396480 is about 1828.8954366326.

The spelling of 6117396480 in words is "six billion, one hundred seventeen million, three hundred ninety-six thousand, four hundred eighty".