10642605600 has 288 divisors, whose sum is σ = 39096872640. Its totient is φ = 2490880000.

The previous prime is 10642605583. The next prime is 10642605601. The reversal of 10642605600 is 650624601.

It is a super-2 number, since 2×10642605600² (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 not an unprimeable number, because it can be changed into a prime (10642605601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758650 + ... + 772550.

It is an arithmetic number, because the mean of its divisors is an integer number (135753030).

Almost surely, 2^10642605600 is an apocalyptic number.

10642605600 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 10642605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548436320).

10642605600 is an abundant number, since it is smaller than the sum of its proper divisors (28454267040).

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

10642605600 is a wasteful number, since it uses less digits than its factorization.

10642605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10642605600 in words is "ten billion, six hundred forty-two million, six hundred five thousand, six hundred".