6552693987840 has 3840 divisors, whose sum is σ = 33511335137280. Its totient is φ = 1181016391680.

The previous prime is 6552693987839. The next prime is 6552693987877. The reversal of 6552693987840 is 487893962556.

It is a happy number.

6552693987840 is a `hidden beast` number, since 6 + 5 + 526 + 9 + 3 + 98 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10585935051 + ... + 10585935669.

It is an arithmetic number, because the mean of its divisors is an integer number (8726910192).

Almost surely, 2^{6552693987840} is an apocalyptic number.

6552693987840 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 6552693987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755667568640).

6552693987840 is an abundant number, since it is smaller than the sum of its proper divisors (26958641149440).

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

6552693987840 is a wasteful number, since it uses less digits than its factorization.

6552693987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 6552693987840 in words is "six trillion, five hundred fifty-two billion, six hundred ninety-three million, nine hundred eighty-seven thousand, eight hundred forty".