16378737661440 has 480 divisors, whose sum is σ = 70721057062656. Its totient is φ = 3403373690880.

The previous prime is 16378737661417. The next prime is 16378737661553. The reversal of 16378737661440 is 4416673787361.

16378737661440 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 8 + 7 + 3 + 7 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×16378737661440³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2842042 + ... + 6390201.

Almost surely, 2^{16378737661440} is an apocalyptic number.

16378737661440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16378737661440 is an abundant number, since it is smaller than the sum of its proper divisors (54342319401216).

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

16378737661440 is a wasteful number, since it uses less digits than its factorization.

16378737661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232290 (or 9232271 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 16378737661440 in words is "sixteen trillion, three hundred seventy-eight billion, seven hundred thirty-seven million, six hundred sixty-one thousand, four hundred forty".