10367468640 has 288 divisors, whose sum is σ = 37081044000. Its totient is φ = 2735161344.

The previous prime is 10367468623. The next prime is 10367468653. The reversal of 10367468640 is 4686476301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3769986 + ... + 3772734.

It is an arithmetic number, because the mean of its divisors is an integer number (128753625).

Almost surely, 2^10367468640 is an apocalyptic number.

10367468640 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 10367468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540522000).

10367468640 is an abundant number, since it is smaller than the sum of its proper divisors (26713575360).

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

10367468640 is an equidigital number, since it uses as much as digits as its factorization.

10367468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10367468640 in words is "ten billion, three hundred sixty-seven million, four hundred sixty-eight thousand, six hundred forty".