633790560480 has 1536 divisors, whose sum is σ = 2718174412800. Its totient is φ = 120185856000.

The previous prime is 633790560479. The next prime is 633790560541. The reversal of 633790560480 is 84065097336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4197288405 + ... + 4197288555.

It is an arithmetic number, because the mean of its divisors is an integer number (1769644800).

Almost surely, 2^633790560480 is an apocalyptic number.

633790560480 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 633790560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359087206400).

633790560480 is an abundant number, since it is smaller than the sum of its proper divisors (2084383852320).

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

633790560480 is a wasteful number, since it uses less digits than its factorization.

633790560480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 633790560480 in words is "six hundred thirty-three billion, seven hundred ninety million, five hundred sixty thousand, four hundred eighty".