1437579664864 has 96 divisors (see below), whose sum is σ = 3256385642496. Its totient is φ = 611956961280.

The previous prime is 1437579664853. The next prime is 1437579664867. The reversal of 1437579664864 is 4684669757341.

It is a super-2 number, since 2×1437579664864² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1437579664793 and 1437579664802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1437579664867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28768669 + ... + 28818595.

It is an arithmetic number, because the mean of its divisors is an integer number (33920683776).

Almost surely, 2^{1437579664864} is an apocalyptic number.

1437579664864 is a gapful number since it is divisible by the number (14) 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 1437579664864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628192821248).

1437579664864 is an abundant number, since it is smaller than the sum of its proper divisors (1818805977632).

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

1437579664864 is a wasteful number, since it uses less digits than its factorization.

1437579664864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50808 (or 50800 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 70.

The spelling of 1437579664864 in words is "one trillion, four hundred thirty-seven billion, five hundred seventy-nine million, six hundred sixty-four thousand, eight hundred sixty-four".