7947525906432 has 336 divisors, whose sum is σ = 26278671193632. Its totient is φ = 2267189084160.

The previous prime is 7947525906409. The next prime is 7947525906443. The reversal of 7947525906432 is 2346095257497.

7947525906432 is a `hidden beast` number, since 7 + 9 + 4 + 7 + 5 + 2 + 590 + 6 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7947525906432.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 341127808 + ... + 341151104.

Almost surely, 2^{7947525906432} is an apocalyptic number.

7947525906432 is a gapful number since it is divisible by the number (72) 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 7947525906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139335596816).

7947525906432 is an abundant number, since it is smaller than the sum of its proper divisors (18331145287200).

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

7947525906432 is a wasteful number, since it uses less digits than its factorization.

7947525906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23997 (or 23970 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 7947525906432 in words is "seven trillion, nine hundred forty-seven billion, five hundred twenty-five million, nine hundred six thousand, four hundred thirty-two".