6545941970400 has 1728 divisors, whose sum is σ = 29729617182720. Its totient is φ = 1371574425600.

The previous prime is 6545941970377. The next prime is 6545941970401. The reversal of 6545941970400 is 40791495456.

6545941970400 is a `hidden beast` number, since 6 + 5 + 4 + 594 + 1 + 9 + 7 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6545941970401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 801507117 + ... + 801515283.

Almost surely, 2^{6545941970400} is an apocalyptic number.

6545941970400 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 6545941970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864808591360).

6545941970400 is an abundant number, since it is smaller than the sum of its proper divisors (23183675212320).

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

6545941970400 is a wasteful number, since it uses less digits than its factorization.

6545941970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6545941970400 in words is "six trillion, five hundred forty-five billion, nine hundred forty-one million, nine hundred seventy thousand, four hundred".