16274736984240 has 480 divisors, whose sum is σ = 62805041470080. Its totient is φ = 3699679297536.

The previous prime is 16274736984223. The next prime is 16274736984241. The reversal of 16274736984240 is 4248963747261.

16274736984240 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 473 + 69 + 84 + 24 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16274736984241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777606096 + ... + 777627024.

It is an arithmetic number, because the mean of its divisors is an integer number (130843836396).

Almost surely, 2^{16274736984240} is an apocalyptic number.

16274736984240 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 16274736984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31402520735040).

16274736984240 is an abundant number, since it is smaller than the sum of its proper divisors (46530304485840).

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

16274736984240 is a wasteful number, since it uses less digits than its factorization.

16274736984240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21789 (or 21780 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 16274736984240 in words is "sixteen trillion, two hundred seventy-four billion, seven hundred thirty-six million, nine hundred eighty-four thousand, two hundred forty".