66402393731520 has 1792 divisors, whose sum is σ = 278284253184000. Its totient is φ = 13282723184640.

The previous prime is 66402393731503. The next prime is 66402393731539. The reversal of 66402393731520 is 2513739320466.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46532861047 + ... + 46532862473.

It is an arithmetic number, because the mean of its divisors is an integer number (155292552000).

Almost surely, 2^{66402393731520} is an apocalyptic number.

66402393731520 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 66402393731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139142126592000).

66402393731520 is an abundant number, since it is smaller than the sum of its proper divisors (211881859452480).

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

66402393731520 is a wasteful number, since it uses less digits than its factorization.

66402393731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 66402393731520 in words is "sixty-six trillion, four hundred two billion, three hundred ninety-three million, seven hundred thirty-one thousand, five hundred twenty".