66193908480 has 576 divisors, whose sum is σ = 282601804800. Its totient is φ = 14332723200.

The previous prime is 66193908479. The next prime is 66193908511. The reversal of 66193908480 is 8480939166.

66193908480 is a `hidden beast` number, since 66 + 19 + 3 + 90 + 8 + 480 = 666.

66193908480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4589280 + ... + 4603680.

Almost surely, 2^66193908480 is an apocalyptic number.

66193908480 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 66193908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141300902400).

66193908480 is an abundant number, since it is smaller than the sum of its proper divisors (216407896320).

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

66193908480 is a wasteful number, since it uses less digits than its factorization.

66193908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14457 (or 14437 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 66193908480 in words is "sixty-six billion, one hundred ninety-three million, nine hundred eight thousand, four hundred eighty".