66033484440 has 512 divisors, whose sum is σ = 252061286400. Its totient is φ = 13441904640.

The previous prime is 66033484399. The next prime is 66033484463. The reversal of 66033484440 is 4448433066.

It is a super-2 number, since 2×66033484440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66033484392 and 66033484401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150417741 + ... + 150418179.

It is an arithmetic number, because the mean of its divisors is an integer number (492307200).

Almost surely, 2^66033484440 is an apocalyptic number.

66033484440 is a gapful number since it is divisible by the number (60) 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 66033484440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126030643200).

66033484440 is an abundant number, since it is smaller than the sum of its proper divisors (186027801960).

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

66033484440 is a wasteful number, since it uses less digits than its factorization.

66033484440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 66033484440 in words is "sixty-six billion, thirty-three million, four hundred eighty-four thousand, four hundred forty".