6746234880 has 896 divisors, whose sum is σ = 28989259776. Its totient is φ = 1297612800.

The previous prime is 6746234843. The next prime is 6746234897. The reversal of 6746234880 is 884326476.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×6746234880² = 91023370112257228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217620465 + ... + 217620495.

Almost surely, 2^6746234880 is an apocalyptic number.

6746234880 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 6746234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494629888).

6746234880 is an abundant number, since it is smaller than the sum of its proper divisors (22243024896).

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

6746234880 is a wasteful number, since it uses less digits than its factorization.

6746234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 6746234880 is about 82135.4666389618. The cubic root of 6746234880 is about 1889.5301203066.

The spelling of 6746234880 in words is "six billion, seven hundred forty-six million, two hundred thirty-four thousand, eight hundred eighty".