66952731904 has 72 divisors (see below), whose sum is σ = 135909059328. Its totient is φ = 32911656960.

The previous prime is 66952731877. The next prime is 66952731907. The reversal of 66952731904 is 40913725966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66952731907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6665574 + ... + 6675610.

It is an arithmetic number, because the mean of its divisors is an integer number (1887625824).

Almost surely, 2^66952731904 is an apocalyptic number.

66952731904 is a gapful number since it is divisible by the number (64) 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 66952731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67954529664).

66952731904 is an abundant number, since it is smaller than the sum of its proper divisors (68956327424).

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

66952731904 is a wasteful number, since it uses less digits than its factorization.

66952731904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 66952731904 in words is "sixty-six billion, nine hundred fifty-two million, seven hundred thirty-one thousand, nine hundred four".