463919628480 has 896 divisors, whose sum is σ = 1884863692800. Its totient is φ = 95835156480.

The previous prime is 463919628479. The next prime is 463919628499. The reversal of 463919628480 is 84826919364.

It is a super-2 number, since 2×463919628480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 952606797 + ... + 952607283.

Almost surely, 2^463919628480 is an apocalyptic number.

463919628480 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 463919628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942431846400).

463919628480 is an abundant number, since it is smaller than the sum of its proper divisors (1420944064320).

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

463919628480 is a wasteful number, since it uses less digits than its factorization.

463919628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 463919628480 in words is "four hundred sixty-three billion, nine hundred nineteen million, six hundred twenty-eight thousand, four hundred eighty".