633575412480 has 288 divisors, whose sum is σ = 2059187606784. Its totient is φ = 165985763328.

The previous prime is 633575412469. The next prime is 633575412511. The reversal of 633575412480 is 84214575336.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102137059 + ... + 102143261.

It is an arithmetic number, because the mean of its divisors is an integer number (7149956968).

Almost surely, 2^633575412480 is an apocalyptic number.

633575412480 is a gapful number since it is divisible by the number (60) 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 633575412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029593803392).

633575412480 is an abundant number, since it is smaller than the sum of its proper divisors (1425612194304).

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

633575412480 is a wasteful number, since it uses less digits than its factorization.

633575412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 633575412480 in words is "six hundred thirty-three billion, five hundred seventy-five million, four hundred twelve thousand, four hundred eighty".