6734961800 has 108 divisors (see below), whose sum is σ = 18237321855. Its totient is φ = 2306344320.

The previous prime is 6734961763. The next prime is 6734961811. The reversal of 6734961800 is 81694376.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2924862724 + 3810099076 = 54082^2 + 61726^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=58030.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8123786 + ... + 8124614.

Almost surely, 2^6734961800 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 6734961800

6734961800 is an abundant number, since it is smaller than the sum of its proper divisors (11502360055).

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

6734961800 is an equidigital number, since it uses as much as digits as its factorization.

6734961800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 6734961800 is about 82066.8130245107. The cubic root of 6734961800 is about 1888.4770539024.

The spelling of 6734961800 in words is "six billion, seven hundred thirty-four million, nine hundred sixty-one thousand, eight hundred".