39695974280064 has 256 divisors, whose sum is σ = 125581415169600. Its totient is φ = 12453637496832.

The previous prime is 39695974280057. The next prime is 39695974280099. The reversal of 39695974280064 is 46008247959693.

39695974280064 is a `hidden beast` number, since 3 + 9 + 6 + 9 + 597 + 4 + 28 + 0 + 0 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 39695974279974 and 39695974280001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 588214 + ... + 8929610.

Almost surely, 2^{39695974280064} is an apocalyptic number.

39695974280064 is a gapful number since it is divisible by the number (34) 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 39695974280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62790707584800).

39695974280064 is an abundant number, since it is smaller than the sum of its proper divisors (85885440889536).

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

39695974280064 is an frugal number, since it uses more digits than its factorization.

39695974280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8341449 (or 8341419 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 39695974280064 in words is "thirty-nine trillion, six hundred ninety-five billion, nine hundred seventy-four million, two hundred eighty thousand, sixty-four".