505363640400 has 360 divisors, whose sum is σ = 1812360909216. Its totient is φ = 130322304000.

The previous prime is 505363640363. The next prime is 505363640437. The reversal of 505363640400 is 4046363505.

505363640400 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 6 + 3 + 640 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (505363640363) and next prime (505363640437).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15618639 + ... + 15650961.

Almost surely, 2^505363640400 is an apocalyptic number.

505363640400 is a gapful number since it is divisible by the number (50) 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 505363640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906180454608).

505363640400 is an abundant number, since it is smaller than the sum of its proper divisors (1306997268816).

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

505363640400 is a wasteful number, since it uses less digits than its factorization.

505363640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32491 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 505363640400 in words is "five hundred five billion, three hundred sixty-three million, six hundred forty thousand, four hundred".