14067400680 has 256 divisors, whose sum is σ = 47918304000. Its totient is φ = 3669801984.

The previous prime is 14067400657. The next prime is 14067400681. The reversal of 14067400680 is 8600476041.

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

It is not an unprimeable number, because it can be changed into a prime (14067400681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17650042 + ... + 17650838.

It is an arithmetic number, because the mean of its divisors is an integer number (187180875).

Almost surely, 2^14067400680 is an apocalyptic number.

14067400680 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 14067400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23959152000).

14067400680 is an abundant number, since it is smaller than the sum of its proper divisors (33850903320).

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

14067400680 is a wasteful number, since it uses less digits than its factorization.

14067400680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1143 counting only the distinct ones).

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

The spelling of 14067400680 in words is "fourteen billion, sixty-seven million, four hundred thousand, six hundred eighty".