75796680960 has 1728 divisors, whose sum is σ = 368761800960. Its totient is φ = 14491975680.

The previous prime is 75796680931. The next prime is 75796680961. The reversal of 75796680960 is 6908669757.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75796680961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161764 + ... + 242162076.

It is an arithmetic number, because the mean of its divisors is an integer number (213403820).

Almost surely, 2^75796680960 is an apocalyptic number.

75796680960 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 75796680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184380900480).

75796680960 is an abundant number, since it is smaller than the sum of its proper divisors (292965120000).

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

75796680960 is a wasteful number, since it uses less digits than its factorization.

75796680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 75796680960 in words is "seventy-five billion, seven hundred ninety-six million, six hundred eighty thousand, nine hundred sixty".