10609622400 has 384 divisors, whose sum is σ = 37950071040. Its totient is φ = 2589696000.

The previous prime is 10609622369. The next prime is 10609622417. The reversal of 10609622400 is 422690601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10609622400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18844519 + ... + 18845081.

It is an arithmetic number, because the mean of its divisors is an integer number (98828310).

Almost surely, 2^10609622400 is an apocalyptic number.

10609622400 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 10609622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975035520).

10609622400 is an abundant number, since it is smaller than the sum of its proper divisors (27340448640).

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

10609622400 is a wasteful number, since it uses less digits than its factorization.

10609622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10609622400 in words is "ten billion, six hundred nine million, six hundred twenty-two thousand, four hundred".