13640399280 has 480 divisors, whose sum is σ = 49396838400. Its totient is φ = 3366696960.

The previous prime is 13640399263. The next prime is 13640399299. The reversal of 13640399280 is 8299304631.

It is a happy number.

13640399280 is a `hidden beast` number, since 1 + 364 + 0 + 3 + 9 + 9 + 280 = 666.

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 95 ways as a sum of consecutive naturals, for example, 68544621 + ... + 68544819.

It is an arithmetic number, because the mean of its divisors is an integer number (102910080).

Almost surely, 2^13640399280 is an apocalyptic number.

13640399280 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 13640399280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698419200).

13640399280 is an abundant number, since it is smaller than the sum of its proper divisors (35756439120).

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

13640399280 is a wasteful number, since it uses less digits than its factorization.

13640399280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13640399280 in words is "thirteen billion, six hundred forty million, three hundred ninety-nine thousand, two hundred eighty".