13710082464 has 192 divisors, whose sum is σ = 43178486400. Its totient is φ = 4207251456.

The previous prime is 13710082459. The next prime is 13710082483. The reversal of 13710082464 is 46428001731.

13710082464 is a `hidden beast` number, since 13 + 7 + 100 + 82 + 464 = 666.

It is a super-2 number, since 2×13710082464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4862047 + ... + 4864865.

It is an arithmetic number, because the mean of its divisors is an integer number (224887950).

Almost surely, 2^13710082464 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 13710082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21589243200).

13710082464 is an abundant number, since it is smaller than the sum of its proper divisors (29468403936).

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

13710082464 is a wasteful number, since it uses less digits than its factorization.

13710082464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13710082464 in words is "thirteen billion, seven hundred ten million, eighty-two thousand, four hundred sixty-four".