13877360640 has 1008 divisors, whose sum is σ = 58973601960. Its totient is φ = 3105423360.

The previous prime is 13877360621. The next prime is 13877360659. The reversal of 13877360640 is 4606377831.

13877360640 is a `hidden beast` number, since 1 + 38 + 7 + 7 + 3 + 606 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13877360621) and next prime (13877360659).

It is a super-2 number, since 2×13877360640² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1067489274 + ... + 1067489286.

Almost surely, 2^13877360640 is an apocalyptic number.

13877360640 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 13877360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29486800980).

13877360640 is an abundant number, since it is smaller than the sum of its proper divisors (45096241320).

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

13877360640 is an equidigital number, since it uses as much as digits as its factorization.

13877360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13877360640 in words is "thirteen billion, eight hundred seventy-seven million, three hundred sixty thousand, six hundred forty".