463768072992 has 384 divisors, whose sum is σ = 1572030996480. Its totient is φ = 130283735040.

The previous prime is 463768072987. The next prime is 463768072997. The reversal of 463768072992 is 299270867364.

463768072992 is a `hidden beast` number, since 463 + 7 + 6 + 80 + 7 + 2 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (463768072987) and next prime (463768072997).

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

It is not an unprimeable number, because it can be changed into a prime (463768072997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88655017 + ... + 88660247.

It is an arithmetic number, because the mean of its divisors is an integer number (4093830720).

Almost surely, 2^463768072992 is an apocalyptic number.

463768072992 is a gapful number since it is divisible by the number (42) 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 463768072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786015498240).

463768072992 is an abundant number, since it is smaller than the sum of its proper divisors (1108262923488).

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

463768072992 is a wasteful number, since it uses less digits than its factorization.

463768072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 463768072992 in words is "four hundred sixty-three billion, seven hundred sixty-eight million, seventy-two thousand, nine hundred ninety-two".