6006080457400 has 96 divisors (see below), whose sum is σ = 14023138711680. Its totient is φ = 2392286000000.

The previous prime is 6006080457359. The next prime is 6006080457409. The reversal of 6006080457400 is 47540806006.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006080457409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253548357 + ... + 253572043.

It is an arithmetic number, because the mean of its divisors is an integer number (146074361580).

Almost surely, 2^{6006080457400} 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 6006080457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011569355840).

6006080457400 is an abundant number, since it is smaller than the sum of its proper divisors (8017058254280).

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

6006080457400 is a wasteful number, since it uses less digits than its factorization.

6006080457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29005 (or 28996 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 6006080457400 in words is "six trillion, six billion, eighty million, four hundred fifty-seven thousand, four hundred".