15673661640000 has 3360 divisors, whose sum is σ = 73652298720000. Its totient is φ = 3111892992000.

The previous prime is 15673661639989. The next prime is 15673661640023. The reversal of 15673661640000 is 4616637651.

15673661640000 is a `hidden beast` number, since 1 + 567 + 36 + 6 + 16 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 105192359926 + ... + 105192360074.

It is an arithmetic number, because the mean of its divisors is an integer number (21920327000).

Almost surely, 2^{15673661640000} is an apocalyptic number.

15673661640000 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 15673661640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36826149360000).

15673661640000 is an abundant number, since it is smaller than the sum of its proper divisors (57978637080000).

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

15673661640000 is a wasteful number, since it uses less digits than its factorization.

15673661640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 15673661640000 in words is "fifteen trillion, six hundred seventy-three billion, six hundred sixty-one million, six hundred forty thousand".