47965632000 has 640 divisors, whose sum is σ = 187461001728. Its totient is φ = 10727424000.

The previous prime is 47965631977. The next prime is 47965632007. The reversal of 47965632000 is 23656974.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47965632007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27455127 + ... + 27456873.

Almost surely, 2^47965632000 is an apocalyptic number.

47965632000 is a gapful number since it is divisible by the number (40) 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 47965632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93730500864).

47965632000 is an abundant number, since it is smaller than the sum of its proper divisors (139495369728).

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

47965632000 is a wasteful number, since it uses less digits than its factorization.

47965632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 47965632000 in words is "forty-seven billion, nine hundred sixty-five million, six hundred thirty-two thousand".