563735768400 has 2160 divisors, whose sum is σ = 2559461898240. Its totient is φ = 114002380800.

The previous prime is 563735768371. The next prime is 563735768429. The reversal of 563735768400 is 4867537365.

563735768400 is a `hidden beast` number, since 5 + 63 + 7 + 3 + 576 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (563735768371) and next prime (563735768429).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5473162749 + ... + 5473162851.

It is an arithmetic number, because the mean of its divisors is an integer number (1184936064).

Almost surely, 2^563735768400 is an apocalyptic number.

563735768400 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 563735768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279730949120).

563735768400 is an abundant number, since it is smaller than the sum of its proper divisors (1995726129840).

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

563735768400 is a wasteful number, since it uses less digits than its factorization.

563735768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 563735768400 in words is "five hundred sixty-three billion, seven hundred thirty-five million, seven hundred sixty-eight thousand, four hundred".