36662401440 has 672 divisors, whose sum is σ = 150480602496. Its totient is φ = 8263710720.

The previous prime is 36662401423. The next prime is 36662401493. The reversal of 36662401440 is 4410426663.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36662401395 and 36662401404.

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 111 ways as a sum of consecutive naturals, for example, 67767570 + ... + 67768110.

It is an arithmetic number, because the mean of its divisors is an integer number (223929468).

Almost surely, 2^36662401440 is an apocalyptic number.

36662401440 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 36662401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75240301248).

36662401440 is an abundant number, since it is smaller than the sum of its proper divisors (113818201056).

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

36662401440 is an equidigital number, since it uses as much as digits as its factorization.

36662401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 36662401440 in words is "thirty-six billion, six hundred sixty-two million, four hundred one thousand, four hundred forty".