10008372816 has 480 divisors, whose sum is σ = 34014489600. Its totient is φ = 2717245440.

The previous prime is 10008372811. The next prime is 10008372853. The reversal of 10008372816 is 61827380001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008372811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31975476 + ... + 31975788.

It is an arithmetic number, because the mean of its divisors is an integer number (70863520).

Almost surely, 2^10008372816 is an apocalyptic number.

10008372816 is a gapful number since it is divisible by the number (16) 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 10008372816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007244800).

10008372816 is an abundant number, since it is smaller than the sum of its proper divisors (24006116784).

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

10008372816 is a wasteful number, since it uses less digits than its factorization.

10008372816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10008372816 in words is "ten billion, eight million, three hundred seventy-two thousand, eight hundred sixteen".