303472016640 has 288 divisors, whose sum is σ = 1159744669440. Its totient is φ = 74700693504.

The previous prime is 303472016629. The next prime is 303472016647. The reversal of 303472016640 is 46610274303.

It is a happy number.

303472016640 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 7 + 2 + 0 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 303472016595 and 303472016604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303472016647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111549 + ... + 787011.

Almost surely, 2^303472016640 is an apocalyptic number.

303472016640 is a gapful number since it is divisible by the number (30) 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 303472016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579872334720).

303472016640 is an abundant number, since it is smaller than the sum of its proper divisors (856272652800).

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

303472016640 is a wasteful number, since it uses less digits than its factorization.

303472016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675506 (or 675486 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 303472016640 in words is "three hundred three billion, four hundred seventy-two million, sixteen thousand, six hundred forty".