10198267632 has 640 divisors, whose sum is σ = 38183270400. Its totient is φ = 2536095744.

The previous prime is 10198267631. The next prime is 10198267633. The reversal of 10198267632 is 23676289101.

10198267632 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 8 + 2 + 6 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (10198267631) and next prime (10198267633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10198267631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51767758 + ... + 51767954.

It is an arithmetic number, because the mean of its divisors is an integer number (59661360).

Almost surely, 2^10198267632 is an apocalyptic number.

10198267632 is a gapful number since it is divisible by the number (12) 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 10198267632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091635200).

10198267632 is an abundant number, since it is smaller than the sum of its proper divisors (27985002768).

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

10198267632 is a wasteful number, since it uses less digits than its factorization.

10198267632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10198267632 in words is "ten billion, one hundred ninety-eight million, two hundred sixty-seven thousand, six hundred thirty-two".