16397734763520 has 2640 divisors, whose sum is σ = 68005703614464. Its totient is φ = 3770700595200.

The previous prime is 16397734763483. The next prime is 16397734763549. The reversal of 16397734763520 is 2536743779361.

16397734763520 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 7 + 7 + 3 + 47 + 63 + 520 = 666.

16397734763520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 129116021697 + ... + 129116021823.

Almost surely, 2^{16397734763520} is an apocalyptic number.

16397734763520 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 16397734763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34002851807232).

16397734763520 is an abundant number, since it is smaller than the sum of its proper divisors (51607968850944).

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

16397734763520 is a wasteful number, since it uses less digits than its factorization.

16397734763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 63.

The spelling of 16397734763520 in words is "sixteen trillion, three hundred ninety-seven billion, seven hundred thirty-four million, seven hundred sixty-three thousand, five hundred twenty".