10077625440 has 216 divisors, whose sum is σ = 34933232880. Its totient is φ = 2645558784.

The previous prime is 10077625427. The next prime is 10077625451. The reversal of 10077625440 is 4452677001.

10077625440 is a `hidden beast` number, since 100 + 7 + 7 + 6 + 2 + 544 + 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 = 10077625395 and 10077625404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6463381 + ... + 6464939.

It is an arithmetic number, because the mean of its divisors is an integer number (161727930).

Almost surely, 2^10077625440 is an apocalyptic number.

10077625440 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 10077625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466616440).

10077625440 is an abundant number, since it is smaller than the sum of its proper divisors (24855607440).

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

10077625440 is a wasteful number, since it uses less digits than its factorization.

10077625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10077625440 in words is "ten billion, seventy-seven million, six hundred twenty-five thousand, four hundred forty".