10478613600 has 720 divisors, whose sum is σ = 47058425568. Its totient is φ = 2209628160.

The previous prime is 10478613589. The next prime is 10478613619. The reversal of 10478613600 is 631687401.

10478613600 is a `hidden beast` number, since 1 + 0 + 47 + 8 + 6 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 5895912 + ... + 5897688.

Almost surely, 2^10478613600 is an apocalyptic number.

10478613600 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 10478613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23529212784).

10478613600 is an abundant number, since it is smaller than the sum of its proper divisors (36579811968).

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

10478613600 is a wasteful number, since it uses less digits than its factorization.

10478613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10478613600 in words is "ten billion, four hundred seventy-eight million, six hundred thirteen thousand, six hundred".