464368020480 has 2112 divisors, whose sum is σ = 2112005645568. Its totient is φ = 91729428480.

The previous prime is 464368020437. The next prime is 464368020481. The reversal of 464368020480 is 84020863464.

464368020480 is a `hidden beast` number, since 4 + 6 + 4 + 368 + 0 + 204 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (464368020481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6361205724 + ... + 6361205796.

Almost surely, 2^464368020480 is an apocalyptic number.

464368020480 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 464368020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056002822784).

464368020480 is an abundant number, since it is smaller than the sum of its proper divisors (1647637625088).

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

464368020480 is a wasteful number, since it uses less digits than its factorization.

464368020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 464368020480 in words is "four hundred sixty-four billion, three hundred sixty-eight million, twenty thousand, four hundred eighty".