463613279040 has 336 divisors, whose sum is σ = 1635024448512. Its totient is φ = 120519917568.

The previous prime is 463613279011. The next prime is 463613279089. The reversal of 463613279040 is 40972316364.

463613279040 is a `hidden beast` number, since 4 + 6 + 3 + 613 + 27 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34780857 + ... + 34794183.

It is an arithmetic number, because the mean of its divisors is an integer number (4866144192).

Almost surely, 2^463613279040 is an apocalyptic number.

463613279040 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 463613279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817512224256).

463613279040 is an abundant number, since it is smaller than the sum of its proper divisors (1171411169472).

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

463613279040 is a wasteful number, since it uses less digits than its factorization.

463613279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 463613279040 in words is "four hundred sixty-three billion, six hundred thirteen million, two hundred seventy-nine thousand, forty".