47540946536928 has 672 divisors, whose sum is σ = 160562386404000. Its totient is φ = 13741758148608.

The previous prime is 47540946536921. The next prime is 47540946536933. The reversal of 47540946536928 is 82963564904574.

47540946536928 is a `hidden beast` number, since 4 + 7 + 5 + 40 + 9 + 46 + 536 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47540946536921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 325329223 + ... + 325475321.

It is an arithmetic number, because the mean of its divisors is an integer number (238932122625).

Almost surely, 2^{47540946536928} is an apocalyptic number.

47540946536928 is a gapful number since it is divisible by the number (48) 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 47540946536928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80281193202000).

47540946536928 is an abundant number, since it is smaller than the sum of its proper divisors (113021439867072).

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

47540946536928 is a wasteful number, since it uses less digits than its factorization.

47540946536928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146206 (or 146183 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 47540946536928 in words is "forty-seven trillion, five hundred forty billion, nine hundred forty-six million, five hundred thirty-six thousand, nine hundred twenty-eight".