75696828480 has 896 divisors, whose sum is σ = 336460185600. Its totient is φ = 15592808448.

The previous prime is 75696828463. The next prime is 75696828497. The reversal of 75696828480 is 8482869657.

75696828480 is a `hidden beast` number, since 7 + 569 + 6 + 8 + 28 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75696828463) and next prime (75696828497).

It is a super-2 number, since 2×75696828480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33807201 + ... + 33809439.

It is an arithmetic number, because the mean of its divisors is an integer number (375513600).

Almost surely, 2^75696828480 is an apocalyptic number.

75696828480 is a gapful number since it is divisible by the number (70) 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 75696828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168230092800).

75696828480 is an abundant number, since it is smaller than the sum of its proper divisors (260763357120).

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

75696828480 is a wasteful number, since it uses less digits than its factorization.

75696828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 75696828480 in words is "seventy-five billion, six hundred ninety-six million, eight hundred twenty-eight thousand, four hundred eighty".