6890743552 has 144 divisors (see below), whose sum is σ = 18158176512. Its totient is φ = 2526658560.

The previous prime is 6890743529. The next prime is 6890743553. The reversal of 6890743552 is 2553470986.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6890743496 and 6890743505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6890743553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324823 + ... + 345385.

It is an arithmetic number, because the mean of its divisors is an integer number (126098448).

Almost surely, 2^6890743552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079088256).

6890743552 is an abundant number, since it is smaller than the sum of its proper divisors (11267432960).

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

6890743552 is a wasteful number, since it uses less digits than its factorization.

6890743552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20614 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The square root of 6890743552 is about 83010.5026608079. The cubic root of 6890743552 is about 1902.9265658030.

The spelling of 6890743552 in words is "six billion, eight hundred ninety million, seven hundred forty-three thousand, five hundred fifty-two".