65606948352 has 640 divisors, whose sum is σ = 230160268800. Its totient is φ = 18225561600.

The previous prime is 65606948333. The next prime is 65606948387. The reversal of 65606948352 is 25384960656.

65606948352 is a `hidden beast` number, since 6 + 56 + 0 + 69 + 483 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105988299 + ... + 105988917.

It is an arithmetic number, because the mean of its divisors is an integer number (359625420).

Almost surely, 2^65606948352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65606948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115080134400).

65606948352 is an abundant number, since it is smaller than the sum of its proper divisors (164553320448).

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

65606948352 is a wasteful number, since it uses less digits than its factorization.

65606948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 65606948352 in words is "sixty-five billion, six hundred six million, nine hundred forty-eight thousand, three hundred fifty-two".