39966780672 has 288 divisors, whose sum is σ = 145465429760. Its totient is φ = 10540523520.

The previous prime is 39966780671. The next prime is 39966780673. The reversal of 39966780672 is 27608766993.

It is an interprime number because it is at equal distance from previous prime (39966780671) and next prime (39966780673).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39966780671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597222 + ... + 660762.

Almost surely, 2^39966780672 is an apocalyptic number.

39966780672 is a gapful number since it is divisible by the number (32) 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 39966780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72732714880).

39966780672 is an abundant number, since it is smaller than the sum of its proper divisors (105498649088).

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

39966780672 is a wasteful number, since it uses less digits than its factorization.

39966780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63586 (or 63566 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 39966780672 in words is "thirty-nine billion, nine hundred sixty-six million, seven hundred eighty thousand, six hundred seventy-two".