66276029952 has 480 divisors, whose sum is σ = 219490951680. Its totient is φ = 19797073920.

The previous prime is 66276029951. The next prime is 66276029971. The reversal of 66276029952 is 25992067266.

It is a happy number.

66276029952 is a `hidden beast` number, since 6 + 6 + 27 + 602 + 9 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×66276029952² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66276029951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108117198 + ... + 108117810.

It is an arithmetic number, because the mean of its divisors is an integer number (457272816).

Almost surely, 2^66276029952 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 66276029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109745475840).

66276029952 is an abundant number, since it is smaller than the sum of its proper divisors (153214921728).

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

66276029952 is an equidigital number, since it uses as much as digits as its factorization.

66276029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 66276029952 in words is "sixty-six billion, two hundred seventy-six million, twenty-nine thousand, nine hundred fifty-two".