463507768080 has 240 divisors, whose sum is σ = 1787422276224. Its totient is φ = 105442283520.

The previous prime is 463507768067. The next prime is 463507768117. The reversal of 463507768080 is 80867705364.

463507768080 is a `hidden beast` number, since 4 + 63 + 507 + 76 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 845512 + ... + 1281368.

Almost surely, 2^463507768080 is an apocalyptic number.

463507768080 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 463507768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893711138112).

463507768080 is an abundant number, since it is smaller than the sum of its proper divisors (1323914508144).

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

463507768080 is a wasteful number, since it uses less digits than its factorization.

463507768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436094 (or 436085 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 463507768080 in words is "four hundred sixty-three billion, five hundred seven million, seven hundred sixty-eight thousand, eighty".