4117639680 has 720 divisors, whose sum is σ = 17998972992. Its totient is φ = 851558400.

The previous prime is 4117639661. The next prime is 4117639681. The reversal of 4117639680 is 869367114.

It is a happy number.

4117639680 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 639 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (4117639681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19514775 + ... + 19514985.

Almost surely, 2^4117639680 is an apocalyptic number.

4117639680 is a gapful number since it is divisible by the number (40) 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 4117639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999486496).

4117639680 is an abundant number, since it is smaller than the sum of its proper divisors (13881333312).

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

4117639680 is a wasteful number, since it uses less digits than its factorization.

4117639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

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

The square root of 4117639680 is about 64168.8372966193. The cubic root of 4117639680 is about 1602.8127191511.

The spelling of 4117639680 in words is "four billion, one hundred seventeen million, six hundred thirty-nine thousand, six hundred eighty".