39746863005696 has 1728 divisors, whose sum is σ = 151749433985760. Its totient is φ = 10323860520960.

The previous prime is 39746863005683. The next prime is 39746863005701. The reversal of 39746863005696 is 69650036864793.

It is a happy number.

39746863005696 is a `hidden beast` number, since 397 + 46 + 8 + 63 + 0 + 0 + 56 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3613351182331 + ... + 3613351182341.

Almost surely, 2^{39746863005696} is an apocalyptic number.

39746863005696 is a gapful number since it is divisible by the number (36) 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 39746863005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75874716992880).

39746863005696 is an abundant number, since it is smaller than the sum of its proper divisors (112002570980064).

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

39746863005696 is an frugal number, since it uses more digits than its factorization.

39746863005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 39746863005696 in words is "thirty-nine trillion, seven hundred forty-six billion, eight hundred sixty-three million, five thousand, six hundred ninety-six".