474239525760 has 3840 divisors, whose sum is σ = 2471796518400. Its totient is φ = 83846430720.

The previous prime is 474239525743. The next prime is 474239525803. The reversal of 474239525760 is 67525932474.

474239525760 is a `hidden beast` number, since 4 + 7 + 42 + 3 + 9 + 525 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 474239525697 and 474239525706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12817284462 + ... + 12817284498.

It is an arithmetic number, because the mean of its divisors is an integer number (643697010).

Almost surely, 2^474239525760 is an apocalyptic number.

474239525760 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 474239525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235898259200).

474239525760 is an abundant number, since it is smaller than the sum of its proper divisors (1997556992640).

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

474239525760 is a wasteful number, since it uses less digits than its factorization.

474239525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

It can be divided in two parts, 474239 and 525760, that added together give a palindrome (999999).

The spelling of 474239525760 in words is "four hundred seventy-four billion, two hundred thirty-nine million, five hundred twenty-five thousand, seven hundred sixty".