36424066679280 has 640 divisors, whose sum is σ = 149174574120960. Its totient is φ = 7993482900480.

The previous prime is 36424066679239. The next prime is 36424066679291. The reversal of 36424066679280 is 8297666042463.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59221497 + ... + 59833383.

It is an arithmetic number, because the mean of its divisors is an integer number (233085272064).

Almost surely, 2^{36424066679280} is an apocalyptic number.

36424066679280 is a gapful number since it is divisible by the number (30) 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 36424066679280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74587287060480).

36424066679280 is an abundant number, since it is smaller than the sum of its proper divisors (112750507441680).

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

36424066679280 is a wasteful number, since it uses less digits than its factorization.

36424066679280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612074 (or 612062 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 36424066679280 in words is "thirty-six trillion, four hundred twenty-four billion, sixty-six million, six hundred seventy-nine thousand, two hundred eighty".