36432003847680 has 2240 divisors, whose sum is σ = 161853572136960. Its totient is φ = 7673883328512.

The previous prime is 36432003847669. The next prime is 36432003847703. The reversal of 36432003847680 is 8674830023463.

36432003847680 is a `hidden beast` number, since 3 + 6 + 43 + 20 + 0 + 38 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9183765057 + ... + 9183769023.

Almost surely, 2^{36432003847680} is an apocalyptic number.

36432003847680 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 36432003847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80926786068480).

36432003847680 is an abundant number, since it is smaller than the sum of its proper divisors (125421568289280).

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

36432003847680 is an equidigital number, since it uses as much as digits as its factorization.

36432003847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 36432003847680 in words is "thirty-six trillion, four hundred thirty-two billion, three million, eight hundred forty-seven thousand, six hundred eighty".