633145608400 has 120 divisors (see below), whose sum is σ = 1553462458200. Its totient is φ = 247931904000.

The previous prime is 633145608371. The next prime is 633145608401. The reversal of 633145608400 is 4806541336.

It can be written as a sum of positive squares in 12 ways, for example, as 301383432256 + 331762176144 = 548984^2 + 575988^2 .

It is a super-2 number, since 2×633145608400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633145608401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3507556 + ... + 3683644.

It is an arithmetic number, because the mean of its divisors is an integer number (12945520485).

Almost surely, 2^633145608400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633145608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776731229100).

633145608400 is an abundant number, since it is smaller than the sum of its proper divisors (920316849800).

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

633145608400 is a wasteful number, since it uses less digits than its factorization.

633145608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176297 (or 176286 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 633145608400 in words is "six hundred thirty-three billion, one hundred forty-five million, six hundred eight thousand, four hundred".