16478356746240 has 2496 divisors, whose sum is σ = 66441139494912. Its totient is φ = 3898500710400.

The previous prime is 16478356746233. The next prime is 16478356746277. The reversal of 16478356746240 is 4264765387461.

16478356746240 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 8 + 3 + 567 + 4 + 62 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159984046029 + ... + 159984046131.

It is an arithmetic number, because the mean of its divisors is an integer number (26619046272).

Almost surely, 2^{16478356746240} is an apocalyptic number.

16478356746240 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 16478356746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33220569747456).

16478356746240 is an abundant number, since it is smaller than the sum of its proper divisors (49962782748672).

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

16478356746240 is a wasteful number, since it uses less digits than its factorization.

16478356746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 16478356746240 in words is "sixteen trillion, four hundred seventy-eight billion, three hundred fifty-six million, seven hundred forty-six thousand, two hundred forty".