472158797760 has 2016 divisors, whose sum is σ = 2014091089920. Its totient is φ = 104808038400.

The previous prime is 472158797723. The next prime is 472158797767. The reversal of 472158797760 is 67797851274.

472158797760 is a `hidden beast` number, since 47 + 2 + 1 + 587 + 9 + 7 + 7 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472158797767) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7740308130 + ... + 7740308190.

It is an arithmetic number, because the mean of its divisors is an integer number (999053120).

Almost surely, 2^472158797760 is an apocalyptic number.

472158797760 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 472158797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007045544960).

472158797760 is an abundant number, since it is smaller than the sum of its proper divisors (1541932292160).

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

472158797760 is a wasteful number, since it uses less digits than its factorization.

472158797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 472158797760 in words is "four hundred seventy-two billion, one hundred fifty-eight million, seven hundred ninety-seven thousand, seven hundred sixty".