1063742400 has 504 divisors, whose sum is σ = 4417125024. Its totient is φ = 237772800.

The previous prime is 1063742321. The next prime is 1063742419. The reversal of 1063742400 is 42473601.

1063742400 is a `hidden beast` number, since 1 + 0 + 637 + 4 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1063742400² = 2263095787115520000, which contains 22 as substring.

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, 6148714 + ... + 6148886.

Almost surely, 2^1063742400 is an apocalyptic number.

1063742400 is a gapful number since it is divisible by the number (10) 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 1063742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208562512).

1063742400 is an abundant number, since it is smaller than the sum of its proper divisors (3353382624).

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

1063742400 is a wasteful number, since it uses less digits than its factorization.

1063742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1063742400 is about 32615.0640042297. The cubic root of 1063742400 is about 1020.8113498343.

The spelling of 1063742400 in words is "one billion, sixty-three million, seven hundred forty-two thousand, four hundred".