10757076480 has 320 divisors, whose sum is σ = 40225996800. Its totient is φ = 2717245440.

The previous prime is 10757076443. The next prime is 10757076481. The reversal of 10757076480 is 8467075701.

10757076480 is a `hidden beast` number, since 1 + 0 + 7 + 570 + 76 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10757076481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309185 + ... + 1317375.

It is an arithmetic number, because the mean of its divisors is an integer number (125706240).

Almost surely, 2^10757076480 is an apocalyptic number.

10757076480 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 10757076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112998400).

10757076480 is an abundant number, since it is smaller than the sum of its proper divisors (29468920320).

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

10757076480 is an equidigital number, since it uses as much as digits as its factorization.

10757076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10757076480 in words is "ten billion, seven hundred fifty-seven million, seventy-six thousand, four hundred eighty".