66393440356320 has 1152 divisors, whose sum is σ = 301027318824960. Its totient is φ = 12915417968640.

The previous prime is 66393440356303. The next prime is 66393440356349. The reversal of 66393440356320 is 2365304439366.

66393440356320 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 34 + 40 + 3 + 563 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119584321 + ... + 120138239.

It is an arithmetic number, because the mean of its divisors is an integer number (261308436480).

Almost surely, 2^{66393440356320} is an apocalyptic number.

66393440356320 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 66393440356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150513659412480).

66393440356320 is an abundant number, since it is smaller than the sum of its proper divisors (234633878468640).

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

66393440356320 is a wasteful number, since it uses less digits than its factorization.

66393440356320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554028 (or 554017 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 66393440356320 in words is "sixty-six trillion, three hundred ninety-three billion, four hundred forty million, three hundred fifty-six thousand, three hundred twenty".