66347458560 has 448 divisors, whose sum is σ = 249834196800. Its totient is φ = 16647192576.

The previous prime is 66347458517. The next prime is 66347458613. The reversal of 66347458560 is 6585474366.

66347458560 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 74 + 5 + 8 + 560 = 666.

It is a super-3 number, since 3×66347458560³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66347458497 and 66347458506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18798876 + ... + 18802404.

Almost surely, 2^66347458560 is an apocalyptic number.

66347458560 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 66347458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124917098400).

66347458560 is an abundant number, since it is smaller than the sum of its proper divisors (183486738240).

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

66347458560 is a wasteful number, since it uses less digits than its factorization.

66347458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 66347458560 in words is "sixty-six billion, three hundred forty-seven million, four hundred fifty-eight thousand, five hundred sixty".