66903217920 has 1152 divisors, whose sum is σ = 305921064960. Its totient is φ = 13436928000.

The previous prime is 66903217883. The next prime is 66903217937. The reversal of 66903217920 is 2971230966.

It is a happy number.

66903217920 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 82494315 + ... + 82495125.

It is an arithmetic number, because the mean of its divisors is an integer number (265556480).

Almost surely, 2^66903217920 is an apocalyptic number.

66903217920 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 66903217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152960532480).

66903217920 is an abundant number, since it is smaller than the sum of its proper divisors (239017847040).

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

66903217920 is a wasteful number, since it uses less digits than its factorization.

66903217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 66903217920 in words is "sixty-six billion, nine hundred three million, two hundred seventeen thousand, nine hundred twenty".