10076451840 has 1056 divisors, whose sum is σ = 45064131840. Its totient is φ = 2102132736.

The previous prime is 10076451799. The next prime is 10076451841. The reversal of 10076451840 is 4815467001.

It is a happy number.

10076451840 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 645 + 1 + 8 + 4 + 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 = 10076451795 and 10076451804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076451841) 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, 113218516 + ... + 113218604.

Almost surely, 2^10076451840 is an apocalyptic number.

10076451840 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 10076451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532065920).

10076451840 is an abundant number, since it is smaller than the sum of its proper divisors (34987680000).

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

10076451840 is an equidigital number, since it uses as much as digits as its factorization.

10076451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10076451840 in words is "ten billion, seventy-six million, four hundred fifty-one thousand, eight hundred forty".