10372347648 has 288 divisors, whose sum is σ = 33429211200. Its totient is φ = 3153199104.

The previous prime is 10372347647. The next prime is 10372347659. The reversal of 10372347648 is 84674327301.

10372347648 is a `hidden beast` number, since 103 + 72 + 3 + 476 + 4 + 8 = 666.

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

It is a super-2 number, since 2×10372347648² (a number of 21 digits) contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10372347647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7996536 + ... + 7997832.

It is an arithmetic number, because the mean of its divisors is an integer number (116073650).

Almost surely, 2^10372347648 is an apocalyptic number.

10372347648 is a gapful number since it is divisible by the number (18) 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 10372347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714605600).

10372347648 is an abundant number, since it is smaller than the sum of its proper divisors (23056863552).

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

10372347648 is a wasteful number, since it uses less digits than its factorization.

10372347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 10372347648 in words is "ten billion, three hundred seventy-two million, three hundred forty-seven thousand, six hundred forty-eight".