8074426728960 has 480 divisors, whose sum is σ = 29706029496000. Its totient is φ = 2021128962048.

The previous prime is 8074426728899. The next prime is 8074426728961. The reversal of 8074426728960 is 698276244708.

8074426728960 is a `hidden beast` number, since 8 + 0 + 7 + 4 + 426 + 72 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (8074426728961) 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, 47631231 + ... + 47800449.

It is an arithmetic number, because the mean of its divisors is an integer number (61887561450).

Almost surely, 2^{8074426728960} is an apocalyptic number.

8074426728960 is a gapful number since it is divisible by the number (80) 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 8074426728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853014748000).

8074426728960 is an abundant number, since it is smaller than the sum of its proper divisors (21631602767040).

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

8074426728960 is a wasteful number, since it uses less digits than its factorization.

8074426728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169376 (or 169357 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 8074426728960 in words is "eight trillion, seventy-four billion, four hundred twenty-six million, seven hundred twenty-eight thousand, nine hundred sixty".