14087636640 has 960 divisors, whose sum is σ = 65335818240. Its totient is φ = 2769500160.

The previous prime is 14087636639. The next prime is 14087636681. The reversal of 14087636640 is 4663678041.

It is a happy number.

14087636640 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 7 + 636 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×14087636640² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 18960109 + ... + 18960851.

It is an arithmetic number, because the mean of its divisors is an integer number (68058144).

Almost surely, 2^14087636640 is an apocalyptic number.

14087636640 is a gapful number since it is divisible by the number (10) 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 14087636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32667909120).

14087636640 is an abundant number, since it is smaller than the sum of its proper divisors (51248181600).

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

14087636640 is a wasteful number, since it uses less digits than its factorization.

14087636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 1408763 and 6640, that added together give a triangular number (1415403 = T₁₆₈₂).

The spelling of 14087636640 in words is "fourteen billion, eighty-seven million, six hundred thirty-six thousand, six hundred forty".