16672428012240 has 1920 divisors, whose sum is σ = 76416389038080. Its totient is φ = 3145535078400.

The previous prime is 16672428012203. The next prime is 16672428012277. The reversal of 16672428012240 is 4221082427661.

16672428012240 is a `hidden beast` number, since 1 + 6 + 67 + 2 + 428 + 0 + 122 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (16672428012203) and next prime (16672428012277).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25223037510 + ... + 25223038170.

It is an arithmetic number, because the mean of its divisors is an integer number (39800202624).

Almost surely, 2^{16672428012240} is an apocalyptic number.

16672428012240 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 16672428012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208194519040).

16672428012240 is an abundant number, since it is smaller than the sum of its proper divisors (59743961025840).

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

16672428012240 is a wasteful number, since it uses less digits than its factorization.

16672428012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 16672428012240 in words is "sixteen trillion, six hundred seventy-two billion, four hundred twenty-eight million, twelve thousand, two hundred forty".