10148624640 has 864 divisors, whose sum is σ = 46421496576. Its totient is φ = 1981808640.

The previous prime is 10148624639. The next prime is 10148624653. The reversal of 10148624640 is 4642684101.

It is a happy number.

10148624640 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 8 + 6 + 2 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10148624595 and 10148624604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079344 + ... + 15080016.

It is an arithmetic number, because the mean of its divisors is an integer number (53728584).

Almost surely, 2^10148624640 is an apocalyptic number.

10148624640 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 10148624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23210748288).

10148624640 is an abundant number, since it is smaller than the sum of its proper divisors (36272871936).

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

10148624640 is a wasteful number, since it uses less digits than its factorization.

10148624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10148624640 in words is "ten billion, one hundred forty-eight million, six hundred twenty-four thousand, six hundred forty".