6935242106900 has 72 divisors (see below), whose sum is σ = 15371802558336. Its totient is φ = 2714698022400.

The previous prime is 6935242106887. The next prime is 6935242106917. The reversal of 6935242106900 is 96012425396.

It is a happy number.

It is a super-2 number, since 2×6935242106900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35184620 + ... + 35381180.

Almost surely, 2^{6935242106900} 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 6935242106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685901279168).

6935242106900 is an abundant number, since it is smaller than the sum of its proper divisors (8436560451436).

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

6935242106900 is a wasteful number, since it uses less digits than its factorization.

6935242106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204129 (or 204122 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 6935242106900 in words is "six trillion, nine hundred thirty-five billion, two hundred forty-two million, one hundred six thousand, nine hundred".