10367449920 has 168 divisors, whose sum is σ = 35733081696. Its totient is φ = 2758966272.

The previous prime is 10367449879. The next prime is 10367449933. The reversal of 10367449920 is 2994476301.

It is a happy number.

10367449920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1502799 + ... + 1509681.

Almost surely, 2^10367449920 is an apocalyptic number.

10367449920 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 10367449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866540848).

10367449920 is an abundant number, since it is smaller than the sum of its proper divisors (25365631776).

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

10367449920 is a wasteful number, since it uses less digits than its factorization.

10367449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10367449920 in words is "ten billion, three hundred sixty-seven million, four hundred forty-nine thousand, nine hundred twenty".