470789726752800 has 4320 divisors, whose sum is σ = 2397261007975680. Its totient is φ = 88565479833600.

The previous prime is 470789726752777. The next prime is 470789726752837. The reversal of 470789726752800 is 8257627987074.

It is a happy number.

470789726752800 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 8 + 97 + 2 + 6 + 7 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 13332647145 + ... + 13332682455.

It is an arithmetic number, because the mean of its divisors is an integer number (554921529624).

Almost surely, 2^{470789726752800} is an apocalyptic number.

470789726752800 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 470789726752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198630503987840).

470789726752800 is an abundant number, since it is smaller than the sum of its proper divisors (1926471281222880).

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

470789726752800 is a wasteful number, since it uses less digits than its factorization.

470789726752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35406 (or 35377 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 470789726752800 in words is "four hundred seventy trillion, seven hundred eighty-nine billion, seven hundred twenty-six million, seven hundred fifty-two thousand, eight hundred".