6890572260 has 768 divisors, whose sum is σ = 27738547200. Its totient is φ = 1393459200.

The previous prime is 6890572211. The next prime is 6890572303. The reversal of 6890572260 is 622750986.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38069370 + ... + 38069550.

It is an arithmetic number, because the mean of its divisors is an integer number (36117900).

Almost surely, 2^6890572260 is an apocalyptic number.

6890572260 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 6890572260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869273600).

6890572260 is an abundant number, since it is smaller than the sum of its proper divisors (20847974940).

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

6890572260 is a wasteful number, since it uses less digits than its factorization.

6890572260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6890572260 is about 83009.4709054334. The cubic root of 6890572260 is about 1902.9107978482.

The spelling of 6890572260 in words is "six billion, eight hundred ninety million, five hundred seventy-two thousand, two hundred sixty".