4013613680 has 40 divisors (see below), whose sum is σ = 9507730752. Its totient is φ = 1575152384.

The previous prime is 4013613677. The next prime is 4013613683. The reversal of 4013613680 is 863163104.

It is an interprime number because it is at equal distance from previous prime (4013613677) and next prime (4013613683).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4013613680² = 32218189544566284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013613683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469064 + ... + 477543.

Almost surely, 2^4013613680 is an apocalyptic number.

4013613680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013613680 is an abundant number, since it is smaller than the sum of its proper divisors (5494117072).

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

4013613680 is a wasteful number, since it uses less digits than its factorization.

4013613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946673 (or 946667 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4013613680 is about 63353.0873754389. The cubic root of 4013613680 is about 1589.1998769528.

Adding to 4013613680 its reverse (863163104), we get a palindrome (4876776784).

The spelling of 4013613680 in words is "four billion, thirteen million, six hundred thirteen thousand, six hundred eighty".