467200016640 has 1440 divisors, whose sum is σ = 2130468721920. Its totient is φ = 95169282048.

The previous prime is 467200016627. The next prime is 467200016641. The reversal of 467200016640 is 46610002764.

467200016640 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 0 + 0 + 0 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 467200016595 and 467200016604.

It is not an unprimeable number, because it can be changed into a prime (467200016641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 234419484 + ... + 234421476.

It is an arithmetic number, because the mean of its divisors is an integer number (1479492168).

Almost surely, 2^467200016640 is an apocalyptic number.

467200016640 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 467200016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065234360960).

467200016640 is an abundant number, since it is smaller than the sum of its proper divisors (1663268705280).

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

467200016640 is a wasteful number, since it uses less digits than its factorization.

467200016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 467200016640 in words is "four hundred sixty-seven billion, two hundred million, sixteen thousand, six hundred forty".