47073762450 has 576 divisors, whose sum is σ = 161712899712. Its totient is φ = 9638092800.

The previous prime is 47073762409. The next prime is 47073762511. The reversal of 47073762450 is 5426737074.

47073762450 is a `hidden beast` number, since 4 + 70 + 73 + 7 + 62 + 450 = 666.

47073762450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47073762450² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 47073762396 and 47073762405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40475569 + ... + 40476731.

It is an arithmetic number, because the mean of its divisors is an integer number (280751562).

Almost surely, 2^47073762450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47073762450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80856449856).

47073762450 is an abundant number, since it is smaller than the sum of its proper divisors (114639137262).

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

47073762450 is a wasteful number, since it uses less digits than its factorization.

47073762450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 47073762450 in words is "forty-seven billion, seventy-three million, seven hundred sixty-two thousand, four hundred fifty".