8402437649016 has 192 divisors, whose sum is σ = 24109640755200. Its totient is φ = 2740301186688.

The previous prime is 8402437648999. The next prime is 8402437649017. The reversal of 8402437649016 is 6109467342048.

8402437649016 is a `hidden beast` number, since 8 + 40 + 2 + 43 + 76 + 490 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8402437649017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305429470 + ... + 305456978.

It is an arithmetic number, because the mean of its divisors is an integer number (125571045600).

Almost surely, 2^{8402437649016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8402437649016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054820377600).

8402437649016 is an abundant number, since it is smaller than the sum of its proper divisors (15707203106184).

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

8402437649016 is a wasteful number, since it uses less digits than its factorization.

8402437649016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30920 (or 30904 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8402437649016 in words is "eight trillion, four hundred two billion, four hundred thirty-seven million, six hundred forty-nine thousand, sixteen".