5517679140 has 144 divisors (see below), whose sum is σ = 17402636160. Its totient is φ = 1413941760.

The previous prime is 5517679133. The next prime is 5517679151. The reversal of 5517679140 is 419767155.

5517679140 is a `hidden beast` number, since 5 + 517 + 6 + 7 + 91 + 40 = 666.

It is a super-2 number, since 2×5517679140² = 60889566183982279200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 488881 + ... + 500039.

It is an arithmetic number, because the mean of its divisors is an integer number (120851640).

Almost surely, 2^5517679140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5517679140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

5517679140 is an abundant number, since it is smaller than the sum of its proper divisors (11884957020).

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

5517679140 is a wasteful number, since it uses less digits than its factorization.

5517679140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 5517679140 is about 74281.0819791958. The cubic root of 5517679140 is about 1767.0634636586.

The spelling of 5517679140 in words is "five billion, five hundred seventeen million, six hundred seventy-nine thousand, one hundred forty".