36679421544480 has 768 divisors, whose sum is σ = 154329270036480. Its totient is φ = 8017093324800.

The previous prime is 36679421544463. The next prime is 36679421544509. The reversal of 36679421544480 is 8444512497663.

36679421544480 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 9 + 4 + 2 + 1 + 544 + 4 + 80 = 666.

It is a super-3 number, since 3×36679421544480³ (a number of 42 digits) contains 333 as substring.

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, 25873275 + ... + 27254085.

It is an arithmetic number, because the mean of its divisors is an integer number (200949570360).

It is a 1-persistent number, because it is pandigital, but 2⋅36679421544480 = 73358843088960 is not.

Almost surely, 2^{36679421544480} is an apocalyptic number.

36679421544480 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 36679421544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77164635018240).

36679421544480 is an abundant number, since it is smaller than the sum of its proper divisors (117649848492000).

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

36679421544480 is a wasteful number, since it uses less digits than its factorization.

36679421544480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380902 (or 1380888 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 36679421544480 in words is "thirty-six trillion, six hundred seventy-nine billion, four hundred twenty-one million, five hundred forty-four thousand, four hundred eighty".