47625818940 has 768 divisors, whose sum is σ = 187280916480. Its totient is φ = 9808128000.

The previous prime is 47625818881. The next prime is 47625818953. The reversal of 47625818940 is 4981852674.

It is a happy number.

47625818940 is a `hidden beast` number, since 4 + 7 + 625 + 8 + 1 + 8 + 9 + 4 + 0 = 666.

47625818940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110500525 + ... + 110500955.

It is an arithmetic number, because the mean of its divisors is an integer number (243855360).

Almost surely, 2^47625818940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47625818940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93640458240).

47625818940 is an abundant number, since it is smaller than the sum of its proper divisors (139655097540).

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

47625818940 is a wasteful number, since it uses less digits than its factorization.

47625818940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47625818940 in words is "forty-seven billion, six hundred twenty-five million, eight hundred eighteen thousand, nine hundred forty".