6921829440 has 84 divisors (see below), whose sum is σ = 23808219084. Its totient is φ = 1845820416.

The previous prime is 6921829379. The next prime is 6921829457. The reversal of 6921829440 is 449281296.

It can be written as a sum of positive squares in 2 ways, for example, as 4161798144 + 2760031296 = 64512^2 + 52536^2 .

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 11 ways as a sum of consecutive naturals, for example, 1198827 + ... + 1204586.

Almost surely, 2^6921829440 is an apocalyptic number.

6921829440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6921829440 is an abundant number, since it is smaller than the sum of its proper divisors (16886389644).

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

6921829440 is a wasteful number, since it uses less digits than its factorization.

6921829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403436 (or 2403423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6921829440 is about 83197.5326557224. The cubic root of 6921829440 is about 1905.7838013001.

The spelling of 6921829440 in words is "six billion, nine hundred twenty-one million, eight hundred twenty-nine thousand, four hundred forty".