47627072640 has 768 divisors, whose sum is σ = 193571389440. Its totient is φ = 10567065600.

The previous prime is 47627072609. The next prime is 47627072641. The reversal of 47627072640 is 4627072674.

47627072640 is a `hidden beast` number, since 476 + 2 + 70 + 72 + 6 + 40 = 666.

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 (47627072641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363565375 + ... + 363565505.

It is an arithmetic number, because the mean of its divisors is an integer number (252046080).

Almost surely, 2^47627072640 is an apocalyptic number.

47627072640 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 47627072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96785694720).

47627072640 is an abundant number, since it is smaller than the sum of its proper divisors (145944316800).

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

47627072640 is a wasteful number, since it uses less digits than its factorization.

47627072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 47627072640 in words is "forty-seven billion, six hundred twenty-seven million, seventy-two thousand, six hundred forty".