66265412640 has 288 divisors, whose sum is σ = 246801328704. Its totient is φ = 14897756160.

The previous prime is 66265412617. The next prime is 66265412669. The reversal of 66265412640 is 4621456266.

It is a super-2 number, since 2×66265412640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66265412592 and 66265412601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1411627 + ... + 1457813.

It is an arithmetic number, because the mean of its divisors is an integer number (856949058).

Almost surely, 2^66265412640 is an apocalyptic number.

66265412640 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 66265412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123400664352).

66265412640 is an abundant number, since it is smaller than the sum of its proper divisors (180535916064).

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

66265412640 is a wasteful number, since it uses less digits than its factorization.

66265412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46280 (or 46265 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 66265412640 in words is "sixty-six billion, two hundred sixty-five million, four hundred twelve thousand, six hundred forty".