6653416137984 has 864 divisors, whose sum is σ = 25690234752000. Its totient is φ = 1637163601920.

The previous prime is 6653416137941. The next prime is 6653416138013. The reversal of 6653416137984 is 4897316143566.

It is a happy number.

6653416137984 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 4 + 1 + 613 + 7 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 165146707 + ... + 165186989.

It is an arithmetic number, because the mean of its divisors is an integer number (29734068000).

Almost surely, 2^{6653416137984} is an apocalyptic number.

6653416137984 is a gapful number since it is divisible by the number (64) 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 6653416137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845117376000).

6653416137984 is an abundant number, since it is smaller than the sum of its proper divisors (19036818614016).

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

6653416137984 is a wasteful number, since it uses less digits than its factorization.

6653416137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40356 (or 40325 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 6653416137984 in words is "six trillion, six hundred fifty-three billion, four hundred sixteen million, one hundred thirty-seven thousand, nine hundred eighty-four".