633483128700000 has 1152 divisors, whose sum is σ = 2441109508992000. Its totient is φ = 159370675200000.

The previous prime is 633483128699999. The next prime is 633483128700061. The reversal of 633483128700000 is 7821384336.

633483128700000 is a `hidden beast` number, since 6 + 334 + 8 + 31 + 287 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12363274381 + ... + 12363325619.

It is an arithmetic number, because the mean of its divisors is an integer number (2119018671000).

Almost surely, 2^{633483128700000} is an apocalyptic number.

633483128700000 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 633483128700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220554754496000).

633483128700000 is an abundant number, since it is smaller than the sum of its proper divisors (1807626380292000).

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

633483128700000 is a wasteful number, since it uses less digits than its factorization.

633483128700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51543 (or 51509 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 633483128700000 in words is "six hundred thirty-three trillion, four hundred eighty-three billion, one hundred twenty-eight million, seven hundred thousand".