36642480000 has 640 divisors, whose sum is σ = 147291851520. Its totient is φ = 7876608000.

The previous prime is 36642479987. The next prime is 36642480023. The reversal of 36642480000 is 8424663.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28559359 + ... + 28560641.

It is an arithmetic number, because the mean of its divisors is an integer number (230143518).

Almost surely, 2^36642480000 is an apocalyptic number.

36642480000 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 36642480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73645925760).

36642480000 is an abundant number, since it is smaller than the sum of its proper divisors (110649371520).

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

36642480000 is a wasteful number, since it uses less digits than its factorization.

36642480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 36642480000 in words is "thirty-six billion, six hundred forty-two million, four hundred eighty thousand".