6701049600 has 432 divisors, whose sum is σ = 25657857792. Its totient is φ = 1508474880.

The previous prime is 6701049587. The next prime is 6701049623. The reversal of 6701049600 is 69401076.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9810859 + ... + 9811541.

Almost surely, 2^6701049600 is an apocalyptic number.

6701049600 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 6701049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828928896).

6701049600 is an abundant number, since it is smaller than the sum of its proper divisors (18956808192).

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

6701049600 is a wasteful number, since it uses less digits than its factorization.

6701049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 6701049600 is about 81859.9389200847. The cubic root of 6701049600 is about 1885.3020691510.

The spelling of 6701049600 in words is "six billion, seven hundred one million, forty-nine thousand, six hundred".