10476248640 has 672 divisors, whose sum is σ = 42002561664. Its totient is φ = 2173501440.

The previous prime is 10476248639. The next prime is 10476248647. The reversal of 10476248640 is 4684267401.

It is a junction number, because it is equal to n+sod(n) for n = 10476248592 and 10476248601.

It is not an unprimeable number, because it can be changed into a prime (10476248647) 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, 156361887 + ... + 156361953.

It is an arithmetic number, because the mean of its divisors is an integer number (62503812).

Almost surely, 2^10476248640 is an apocalyptic number.

10476248640 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 10476248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21001280832).

10476248640 is an abundant number, since it is smaller than the sum of its proper divisors (31526313024).

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

10476248640 is a wasteful number, since it uses less digits than its factorization.

10476248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 10476248640 in words is "ten billion, four hundred seventy-six million, two hundred forty-eight thousand, six hundred forty".