66079641600 has 468 divisors, whose sum is σ = 270521339296. Its totient is φ = 15102443520.

The previous prime is 66079641547. The next prime is 66079641601. The reversal of 66079641600 is 614697066.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66079641601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6446079 + ... + 6456321.

Almost surely, 2^66079641600 is an apocalyptic number.

66079641600 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 66079641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135260669648).

66079641600 is an abundant number, since it is smaller than the sum of its proper divisors (204441697696).

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

66079641600 is a wasteful number, since it uses less digits than its factorization.

66079641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290 (or 10260 counting only the distinct ones).

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

The spelling of 66079641600 in words is "sixty-six billion, seventy-nine million, six hundred forty-one thousand, six hundred".