6735558866400 has 1152 divisors, whose sum is σ = 30291821199360. Its totient is φ = 1406438277120.

The previous prime is 6735558866357. The next prime is 6735558866401. The reversal of 6735558866400 is 46688555376.

6735558866400 is a `hidden beast` number, since 6 + 7 + 3 + 5 + 5 + 588 + 6 + 6 + 40 + 0 = 666.

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 (6735558866401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190645537 + ... + 190680863.

It is an arithmetic number, because the mean of its divisors is an integer number (26294983680).

Almost surely, 2^{6735558866400} is an apocalyptic number.

6735558866400 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 6735558866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145910599680).

6735558866400 is an abundant number, since it is smaller than the sum of its proper divisors (23556262332960).

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

6735558866400 is a wasteful number, since it uses less digits than its factorization.

6735558866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35473 (or 35454 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 6735558866400 in words is "six trillion, seven hundred thirty-five billion, five hundred fifty-eight million, eight hundred sixty-six thousand, four hundred".