66908007936 has 640 divisors, whose sum is σ = 248898355200. Its totient is φ = 17240186880.

The previous prime is 66908007931. The next prime is 66908007961. The reversal of 66908007936 is 63970080966.

It is a happy number.

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 (66908007931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254402941 + ... + 254403203.

It is an arithmetic number, because the mean of its divisors is an integer number (388903680).

Almost surely, 2^66908007936 is an apocalyptic number.

66908007936 is a gapful number since it is divisible by the number (66) 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 66908007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449177600).

66908007936 is an abundant number, since it is smaller than the sum of its proper divisors (181990347264).

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

66908007936 is a wasteful number, since it uses less digits than its factorization.

66908007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 66908007936 in words is "sixty-six billion, nine hundred eight million, seven thousand, nine hundred thirty-six".