4532765036688 has 400 divisors, whose sum is σ = 15194452492800. Its totient is φ = 1293695020800.

The previous prime is 4532765036621. The next prime is 4532765036689. The reversal of 4532765036688 is 8866305672354.

4532765036688 is a `hidden beast` number, since 4 + 53 + 2 + 76 + 503 + 6 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4532765036689) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1349437153 + ... + 1349440511.

It is an arithmetic number, because the mean of its divisors is an integer number (37986131232).

Almost surely, 2^{4532765036688} is an apocalyptic number.

4532765036688 is a gapful number since it is divisible by the number (48) 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 4532765036688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597226246400).

4532765036688 is an abundant number, since it is smaller than the sum of its proper divisors (10661687456112).

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

4532765036688 is a wasteful number, since it uses less digits than its factorization.

4532765036688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 4532765036688 in words is "four trillion, five hundred thirty-two billion, seven hundred sixty-five million, thirty-six thousand, six hundred eighty-eight".