468825477120 has 2496 divisors, whose sum is σ = 2296635828480. Its totient is φ = 89924567040.

The previous prime is 468825477119. The next prime is 468825477137. The reversal of 468825477120 is 21774528864.

468825477120 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 2 + 547 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36063498234 + ... + 36063498246.

Almost surely, 2^468825477120 is an apocalyptic number.

468825477120 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 468825477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148317914240).

468825477120 is an abundant number, since it is smaller than the sum of its proper divisors (1827810351360).

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

468825477120 is a wasteful number, since it uses less digits than its factorization.

468825477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 468825477120 in words is "four hundred sixty-eight billion, eight hundred twenty-five million, four hundred seventy-seven thousand, one hundred twenty".