468748982520 has 1536 divisors, whose sum is σ = 2158700544000. Its totient is φ = 85279703040.

The previous prime is 468748982509. The next prime is 468748982573. The reversal of 468748982520 is 25289847864.

468748982520 is a `hidden beast` number, since 4 + 68 + 7 + 48 + 9 + 8 + 2 + 520 = 666.

It is a super-3 number, since 3×468748982520³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 328025166 + ... + 328026594.

It is an arithmetic number, because the mean of its divisors is an integer number (1405404000).

Almost surely, 2^468748982520 is an apocalyptic number.

468748982520 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 468748982520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079350272000).

468748982520 is an abundant number, since it is smaller than the sum of its proper divisors (1689951561480).

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

468748982520 is a wasteful number, since it uses less digits than its factorization.

468748982520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 468748982520 in words is "four hundred sixty-eight billion, seven hundred forty-eight million, nine hundred eighty-two thousand, five hundred twenty".