467372487456 has 768 divisors, whose sum is σ = 1631566540800. Its totient is φ = 127427198976.

The previous prime is 467372487451. The next prime is 467372487467. The reversal of 467372487456 is 654784273764.

467372487456 is a `hidden beast` number, since 4 + 6 + 73 + 72 + 48 + 7 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 467372487393 and 467372487402.

It is not an unprimeable number, because it can be changed into a prime (467372487451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2701574986 + ... + 2701575158.

It is an arithmetic number, because the mean of its divisors is an integer number (2124435600).

Almost surely, 2^467372487456 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 467372487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815783270400).

467372487456 is an abundant number, since it is smaller than the sum of its proper divisors (1164194053344).

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

467372487456 is a wasteful number, since it uses less digits than its factorization.

467372487456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 63.

The spelling of 467372487456 in words is "four hundred sixty-seven billion, three hundred seventy-two million, four hundred eighty-seven thousand, four hundred fifty-six".