14764575006720 has 5376 divisors, whose sum is σ = 74357451325440. Its totient is φ = 2734895923200.

The previous prime is 14764575006679. The next prime is 14764575006763. The reversal of 14764575006720 is 2760057546741.

14764575006720 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 4 + 57 + 500 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 314139893737 + ... + 314139893783.

Almost surely, 2^{14764575006720} is an apocalyptic number.

14764575006720 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 14764575006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37178725662720).

14764575006720 is an abundant number, since it is smaller than the sum of its proper divisors (59592876318720).

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

14764575006720 is a wasteful number, since it uses less digits than its factorization.

14764575006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 14764575006720 in words is "fourteen trillion, seven hundred sixty-four billion, five hundred seventy-five million, six thousand, seven hundred twenty".