10376205840 has 640 divisors, whose sum is σ = 47996928000. Its totient is φ = 1989826560.

The previous prime is 10376205821. The next prime is 10376205863. The reversal of 10376205840 is 4850267301.

10376205840 is a `hidden beast` number, since 1 + 0 + 3 + 76 + 2 + 0 + 584 + 0 = 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 = 10376205795 and 10376205804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2159761 + ... + 2164559.

It is an arithmetic number, because the mean of its divisors is an integer number (74995200).

Almost surely, 2^10376205840 is an apocalyptic number.

10376205840 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 10376205840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464000).

10376205840 is an abundant number, since it is smaller than the sum of its proper divisors (37620722160).

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

10376205840 is a wasteful number, since it uses less digits than its factorization.

10376205840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10376205840 in words is "ten billion, three hundred seventy-six million, two hundred five thousand, eight hundred forty".