6335740477440 has 3072 divisors, whose sum is σ = 28195157652480. Its totient is φ = 1345364951040.

The previous prime is 6335740477433. The next prime is 6335740477453. The reversal of 6335740477440 is 447740475336.

6335740477440 is a `hidden beast` number, since 63 + 3 + 5 + 74 + 0 + 4 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171236229102 + ... + 171236229138.

It is an arithmetic number, because the mean of its divisors is an integer number (9178111215).

Almost surely, 2^{6335740477440} is an apocalyptic number.

6335740477440 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 6335740477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14097578826240).

6335740477440 is an abundant number, since it is smaller than the sum of its proper divisors (21859417175040).

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

6335740477440 is a wasteful number, since it uses less digits than its factorization.

6335740477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 54.

The spelling of 6335740477440 in words is "six trillion, three hundred thirty-five billion, seven hundred forty million, four hundred seventy-seven thousand, four hundred forty".