47496633120 has 384 divisors, whose sum is σ = 169885900800. Its totient is φ = 12390091776.

The previous prime is 47496633113. The next prime is 47496633127. The reversal of 47496633120 is 2133669474.

47496633120 is a `hidden beast` number, since 4 + 7 + 4 + 9 + 6 + 633 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47496633113) and next prime (47496633127).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47496633127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78247857 + ... + 78248463.

It is an arithmetic number, because the mean of its divisors is an integer number (442411200).

Almost surely, 2^47496633120 is an apocalyptic number.

47496633120 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 47496633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942950400).

47496633120 is an abundant number, since it is smaller than the sum of its proper divisors (122389267680).

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

47496633120 is a wasteful number, since it uses less digits than its factorization.

47496633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 47496633120 in words is "forty-seven billion, four hundred ninety-six million, six hundred thirty-three thousand, one hundred twenty".