8434057927680 has 1056 divisors, whose sum is σ = 37652705341440. Its totient is φ = 1752507187200.

The previous prime is 8434057927661. The next prime is 8434057927681. The reversal of 8434057927680 is 867297504348.

8434057927680 is a `hidden beast` number, since 8 + 4 + 34 + 0 + 579 + 27 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×8434057927680² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8434057927681) 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, 117053265 + ... + 117125295.

Almost surely, 2^{8434057927680} is an apocalyptic number.

8434057927680 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 8434057927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826352670720).

8434057927680 is an abundant number, since it is smaller than the sum of its proper divisors (29218647413760).

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

8434057927680 is a wasteful number, since it uses less digits than its factorization.

8434057927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72094 (or 72059 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 8434057927680 in words is "eight trillion, four hundred thirty-four billion, fifty-seven million, nine hundred twenty-seven thousand, six hundred eighty".