469703725215360 has 1024 divisors, whose sum is σ = 1642135555584000. Its totient is φ = 113829514444800.

The previous prime is 469703725215253. The next prime is 469703725215377. The reversal of 469703725215360 is 63512527307964.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 469703725215294 and 469703725215303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24049128795 + ... + 24049148325.

It is an arithmetic number, because the mean of its divisors is an integer number (1603648003500).

Almost surely, 2^{469703725215360} is an apocalyptic number.

469703725215360 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 469703725215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821067777792000).

469703725215360 is an abundant number, since it is smaller than the sum of its proper divisors (1172431830368640).

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

469703725215360 is a wasteful number, since it uses less digits than its factorization.

469703725215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19905 (or 19893 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 469703725215360 in words is "four hundred sixty-nine trillion, seven hundred three billion, seven hundred twenty-five million, two hundred fifteen thousand, three hundred sixty".