633649380 has 288 divisors, whose sum is σ = 2268362880. Its totient is φ = 130959360.

The previous prime is 633649339. The next prime is 633649403. The reversal of 633649380 is 83946336.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2254840 + ... + 2255120.

It is an arithmetic number, because the mean of its divisors is an integer number (7876260).

Almost surely, 2^633649380 is an apocalyptic number.

633649380 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 633649380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134181440).

633649380 is an abundant number, since it is smaller than the sum of its proper divisors (1634713500).

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

633649380 is a wasteful number, since it uses less digits than its factorization.

633649380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 633649380 is about 25172.3932116118. The cubic root of 633649380 is about 858.9139797755.

The spelling of 633649380 in words is "six hundred thirty-three million, six hundred forty-nine thousand, three hundred eighty".