8049176432640 has 624 divisors, whose sum is σ = 31915377801216. Its totient is φ = 1838127513600.

The previous prime is 8049176432611. The next prime is 8049176432699. The reversal of 8049176432640 is 462346719408.

8049176432640 is a `hidden beast` number, since 8 + 0 + 491 + 7 + 64 + 32 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897940920 + ... + 1897945160.

It is an arithmetic number, because the mean of its divisors is an integer number (51146438784).

Almost surely, 2^{8049176432640} is an apocalyptic number.

8049176432640 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 8049176432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957688900608).

8049176432640 is an abundant number, since it is smaller than the sum of its proper divisors (23866201368576).

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

8049176432640 is a wasteful number, since it uses less digits than its factorization.

8049176432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5729 counting only the distinct ones).

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

The spelling of 8049176432640 in words is "eight trillion, forty-nine billion, one hundred seventy-six million, four hundred thirty-two thousand, six hundred forty".