6235071642100 has 144 divisors (see below), whose sum is σ = 15964858183680. Its totient is φ = 2069175628800.

The previous prime is 6235071642097. The next prime is 6235071642101. The reversal of 6235071642100 is 12461705326.

It is a super-2 number, since 2×6235071642100² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6235071642100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6235071642101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2789586 + ... + 4500214.

It is an arithmetic number, because the mean of its divisors is an integer number (110867070720).

Almost surely, 2^{6235071642100} 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 6235071642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982429091840).

6235071642100 is an abundant number, since it is smaller than the sum of its proper divisors (9729786541580).

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

6235071642100 is a wasteful number, since it uses less digits than its factorization.

6235071642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710818 (or 1710811 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 6235071642100 in words is "six trillion, two hundred thirty-five billion, seventy-one million, six hundred forty-two thousand, one hundred".