14937736180640 has 576 divisors, whose sum is σ = 45729720142848. Its totient is φ = 4488501288960.

The previous prime is 14937736180637. The next prime is 14937736180657. The reversal of 14937736180640 is 4608163773941.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14937736180640.

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, 741574409 + ... + 741594551.

It is an arithmetic number, because the mean of its divisors is an integer number (79391875248).

Almost surely, 2^{14937736180640} is an apocalyptic number.

14937736180640 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 14937736180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22864860071424).

14937736180640 is an abundant number, since it is smaller than the sum of its proper divisors (30791983962208).

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

14937736180640 is a wasteful number, since it uses less digits than its factorization.

14937736180640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20293 (or 20254 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 59.

The spelling of 14937736180640 in words is "fourteen trillion, nine hundred thirty-seven billion, seven hundred thirty-six million, one hundred eighty thousand, six hundred forty".