47496196800 has 504 divisors, whose sum is σ = 188551622896. Its totient is φ = 11690127360.

The previous prime is 47496196771. The next prime is 47496196801. The reversal of 47496196800 is 869169474.

47496196800 is a `hidden beast` number, since 474 + 9 + 6 + 1 + 96 + 80 + 0 = 666.

It is a super-3 number, since 3×47496196800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47496196801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5049702 + ... + 5059098.

Almost surely, 2^47496196800 is an apocalyptic number.

47496196800 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 47496196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94275811448).

47496196800 is an abundant number, since it is smaller than the sum of its proper divisors (141055426096).

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

47496196800 is a wasteful number, since it uses less digits than its factorization.

47496196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 47496196800 in words is "forty-seven billion, four hundred ninety-six million, one hundred ninety-six thousand, eight hundred".