66972763440 has 1280 divisors, whose sum is σ = 284638924800. Its totient is φ = 14452162560.

The previous prime is 66972763409. The next prime is 66972763447. The reversal of 66972763440 is 4436727966.

66972763440 is a `hidden beast` number, since 6 + 69 + 72 + 76 + 3 + 440 = 666.

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 (66972763447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 752502916 + ... + 752503004.

It is an arithmetic number, because the mean of its divisors is an integer number (222374160).

Almost surely, 2^66972763440 is an apocalyptic number.

66972763440 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 66972763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142319462400).

66972763440 is an abundant number, since it is smaller than the sum of its proper divisors (217666161360).

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

66972763440 is a wasteful number, since it uses less digits than its factorization.

66972763440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 66972763440 in words is "sixty-six billion, nine hundred seventy-two million, seven hundred sixty-three thousand, four hundred forty".