66457349460 has 288 divisors, whose sum is σ = 215274608640. Its totient is φ = 16563004416.

The previous prime is 66457349443. The next prime is 66457349479. The reversal of 66457349460 is 6494375466.

It is a happy number.

66457349460 is a `hidden beast` number, since 6 + 6 + 4 + 573 + 4 + 9 + 4 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66457349397 and 66457349406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43069449 + ... + 43070991.

It is an arithmetic number, because the mean of its divisors is an integer number (747481280).

Almost surely, 2^66457349460 is an apocalyptic number.

66457349460 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 66457349460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107637304320).

66457349460 is an abundant number, since it is smaller than the sum of its proper divisors (148817259180).

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

66457349460 is a wasteful number, since it uses less digits than its factorization.

66457349460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 66457349460 in words is "sixty-six billion, four hundred fifty-seven million, three hundred forty-nine thousand, four hundred sixty".