4671637680 has 80 divisors (see below), whose sum is σ = 14528579040. Its totient is φ = 1241769984.

The previous prime is 4671637669. The next prime is 4671637681. The reversal of 4671637680 is 867361764.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4671637680² = 43648397226391564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4671637681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44026 + ... + 106214.

It is an arithmetic number, because the mean of its divisors is an integer number (181607238).

Almost surely, 2^4671637680 is an apocalyptic number.

4671637680 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 4671637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264289520).

4671637680 is an abundant number, since it is smaller than the sum of its proper divisors (9856941360).

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

4671637680 is a wasteful number, since it uses less digits than its factorization.

4671637680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62518 (or 62512 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 4671637680 is about 68349.3795143745. The cubic root of 4671637680 is about 1671.6924623047.

The spelling of 4671637680 in words is "four billion, six hundred seventy-one million, six hundred thirty-seven thousand, six hundred eighty".