470156727936 has 384 divisors, whose sum is σ = 1541035584000. Its totient is φ = 126276433920.

The previous prime is 470156727907. The next prime is 470156727961. The reversal of 470156727936 is 639727651074.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×470156727936³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46828005 + ... + 46838043.

It is an arithmetic number, because the mean of its divisors is an integer number (4013113500).

Almost surely, 2^470156727936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470156727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770517792000).

470156727936 is an abundant number, since it is smaller than the sum of its proper divisors (1070878856064).

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

470156727936 is a wasteful number, since it uses less digits than its factorization.

470156727936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 470156727936 in words is "four hundred seventy billion, one hundred fifty-six million, seven hundred twenty-seven thousand, nine hundred thirty-six".