6553557542340 has 384 divisors, whose sum is σ = 21207239424000. Its totient is φ = 1678769971200.

The previous prime is 6553557542333. The next prime is 6553557542429. The reversal of 6553557542340 is 432457553556.

6553557542340 is a `hidden beast` number, since 6 + 5 + 5 + 3 + 5 + 57 + 542 + 3 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 740594236 + ... + 740603084.

It is an arithmetic number, because the mean of its divisors is an integer number (55227186000).

Almost surely, 2^{6553557542340} is an apocalyptic number.

6553557542340 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 6553557542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603619712000).

6553557542340 is an abundant number, since it is smaller than the sum of its proper divisors (14653681881660).

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

6553557542340 is a wasteful number, since it uses less digits than its factorization.

6553557542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 37800000, while the sum is 54.

The spelling of 6553557542340 in words is "six trillion, five hundred fifty-three billion, five hundred fifty-seven million, five hundred forty-two thousand, three hundred forty".