6112434577760 has 384 divisors, whose sum is σ = 18712299110400. Its totient is φ = 1837805967360.

The previous prime is 6112434577751. The next prime is 6112434577789. The reversal of 6112434577760 is 677754342116.

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 63 ways as a sum of consecutive naturals, for example, 14971211 + ... + 15374069.

It is an arithmetic number, because the mean of its divisors is an integer number (48729945600).

Almost surely, 2^{6112434577760} 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 6112434577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356149555200).

6112434577760 is an abundant number, since it is smaller than the sum of its proper divisors (12599864532640).

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

6112434577760 is a wasteful number, since it uses less digits than its factorization.

6112434577760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402954 (or 402946 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 6112434577760 in words is "six trillion, one hundred twelve billion, four hundred thirty-four million, five hundred seventy-seven thousand, seven hundred sixty".