6547442618400 has 576 divisors, whose sum is σ = 22569817439232. Its totient is φ = 1645977600000.

The previous prime is 6547442618323. The next prime is 6547442618419. The reversal of 6547442618400 is 48162447456.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2870425260 + ... + 2870427540.

It is an arithmetic number, because the mean of its divisors is an integer number (39183710832).

Almost surely, 2^{6547442618400} is an apocalyptic number.

6547442618400 is a gapful number since it is divisible by the number (60) 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 6547442618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284908719616).

6547442618400 is an abundant number, since it is smaller than the sum of its proper divisors (16022374820832).

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

6547442618400 is a wasteful number, since it uses less digits than its factorization.

6547442618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 6547442618400 in words is "six trillion, five hundred forty-seven billion, four hundred forty-two million, six hundred eighteen thousand, four hundred".