36662640480 has 144 divisors (see below), whose sum is σ = 126619038000. Its totient is φ = 9658881024.

The previous prime is 36662640479. The next prime is 36662640491. The reversal of 36662640480 is 8404626663.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33855 + ... + 272894.

It is an arithmetic number, because the mean of its divisors is an integer number (879298875).

Almost surely, 2^36662640480 is an apocalyptic number.

36662640480 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 36662640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63309519000).

36662640480 is an abundant number, since it is smaller than the sum of its proper divisors (89956397520).

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

36662640480 is a wasteful number, since it uses less digits than its factorization.

36662640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306853 (or 306842 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36662640480 in words is "thirty-six billion, six hundred sixty-two million, six hundred forty thousand, four hundred eighty".