66692021760 has 1280 divisors, whose sum is σ = 304900485120. Its totient is φ = 13430292480.

The previous prime is 66692021743. The next prime is 66692021791. The reversal of 66692021760 is 6712029666.

66692021760 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 (1280).

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, 144667930 + ... + 144668390.

It is an arithmetic number, because the mean of its divisors is an integer number (238203504).

Almost surely, 2^66692021760 is an apocalyptic number.

66692021760 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 66692021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152450242560).

66692021760 is an abundant number, since it is smaller than the sum of its proper divisors (238208463360).

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

66692021760 is a wasteful number, since it uses less digits than its factorization.

66692021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 66692021760 in words is "sixty-six billion, six hundred ninety-two million, twenty-one thousand, seven hundred sixty".