903168620640 has 2304 divisors, whose sum is σ = 4156026900480. Its totient is φ = 174859223040.

The previous prime is 903168620609. The next prime is 903168620647. The reversal of 903168620640 is 46026861309.

903168620640 is a `hidden beast` number, since 9 + 0 + 3 + 16 + 8 + 620 + 6 + 4 + 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 not an unprimeable number, because it can be changed into a prime (903168620647) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2460949737 + ... + 2460950103.

It is an arithmetic number, because the mean of its divisors is an integer number (1803831120).

Almost surely, 2^903168620640 is an apocalyptic number.

903168620640 is a gapful number since it is divisible by the number (90) 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 903168620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078013450240).

903168620640 is an abundant number, since it is smaller than the sum of its proper divisors (3252858279840).

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

903168620640 is a wasteful number, since it uses less digits than its factorization.

903168620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 903168620640 in words is "nine hundred three billion, one hundred sixty-eight million, six hundred twenty thousand, six hundred forty".