75832808224740 has 192 divisors, whose sum is σ = 243468687458304. Its totient is φ = 17275823304192.

The previous prime is 75832808224729. The next prime is 75832808224763. The reversal of 75832808224740 is 4742280823857.

It is a happy number.

It is a super-2 number, since 2×75832808224740² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919556749 + ... + 919639211.

It is an arithmetic number, because the mean of its divisors is an integer number (1268066080512).

Almost surely, 2^{75832808224740} is an apocalyptic number.

75832808224740 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 75832808224740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121734343729152).

75832808224740 is an abundant number, since it is smaller than the sum of its proper divisors (167635879233564).

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

75832808224740 is a wasteful number, since it uses less digits than its factorization.

75832808224740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89706 (or 89704 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 60.

The spelling of 75832808224740 in words is "seventy-five trillion, eight hundred thirty-two billion, eight hundred eight million, two hundred twenty-four thousand, seven hundred forty".