464333506560 has 1536 divisors, whose sum is σ = 2180589465600. Its totient is φ = 90738524160.

The previous prime is 464333506501. The next prime is 464333506619. The reversal of 464333506560 is 65605333464.

464333506560 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 33 + 50 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (464333506501) and next prime (464333506619).

It is a tau number, because it is divible by the number of its divisors (1536).

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

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, 361911679 + ... + 361912961.

It is an arithmetic number, because the mean of its divisors is an integer number (1419654600).

Almost surely, 2^464333506560 is an apocalyptic number.

464333506560 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 464333506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090294732800).

464333506560 is an abundant number, since it is smaller than the sum of its proper divisors (1716255959040).

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

464333506560 is a wasteful number, since it uses less digits than its factorization.

464333506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 464333506560 in words is "four hundred sixty-four billion, three hundred thirty-three million, five hundred six thousand, five hundred sixty".