42769632796000 has 768 divisors, whose sum is σ = 124281371934720. Its totient is φ = 14301450240000.

The previous prime is 42769632795889. The next prime is 42769632796001. The reversal of 42769632796000 is 69723696724.

It is a self number, because there is not a number n which added to its sum of digits gives 42769632796000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42769632796001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7072864977 + ... + 7072871023.

It is an arithmetic number, because the mean of its divisors is an integer number (161824703040).

Almost surely, 2^{42769632796000} is an apocalyptic number.

42769632796000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42769632796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62140685967360).

42769632796000 is an abundant number, since it is smaller than the sum of its proper divisors (81511739138720).

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

42769632796000 is a wasteful number, since it uses less digits than its factorization.

42769632796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 61.

It can be divided in two parts, 427696 and 32796000, that added together give a square (33223696 = 5764²).

The spelling of 42769632796000 in words is "forty-two trillion, seven hundred sixty-nine billion, six hundred thirty-two million, seven hundred ninety-six thousand".