47934996480 has 864 divisors, whose sum is σ = 201527149824. Its totient is φ = 10701766656.

The previous prime is 47934996467. The next prime is 47934996491. The reversal of 47934996480 is 8469943974.

47934996480 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 499 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×47934996480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114767339 + ... + 1114767381.

It is an arithmetic number, because the mean of its divisors is an integer number (233249016).

Almost surely, 2^47934996480 is an apocalyptic number.

47934996480 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 47934996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100763574912).

47934996480 is an abundant number, since it is smaller than the sum of its proper divisors (153592153344).

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

47934996480 is an frugal number, since it uses more digits than its factorization.

47934996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 47934996480 in words is "forty-seven billion, nine hundred thirty-four million, nine hundred ninety-six thousand, four hundred eighty".