535768377672 has 128 divisors (see below), whose sum is σ = 1475374694400. Its totient is φ = 162121298240.

The previous prime is 535768377667. The next prime is 535768377679. The reversal of 535768377672 is 276773867535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (535768377679) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22956073 + ... + 22979399.

It is an arithmetic number, because the mean of its divisors is an integer number (11526364800).

Almost surely, 2^535768377672 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 535768377672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737687347200).

535768377672 is an abundant number, since it is smaller than the sum of its proper divisors (939606316728).

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

535768377672 is a wasteful number, since it uses less digits than its factorization.

535768377672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24088 (or 24062 counting only the distinct ones).

The product of its digits is 311169600, while the sum is 66.

The spelling of 535768377672 in words is "five hundred thirty-five billion, seven hundred sixty-eight million, three hundred seventy-seven thousand, six hundred seventy-two".