75925870632 has 192 divisors, whose sum is σ = 213016677120. Its totient is φ = 24417759744.

The previous prime is 75925870621. The next prime is 75925870633. The reversal of 75925870632 is 23607852957.

75925870632 is a `hidden beast` number, since 7 + 59 + 2 + 587 + 0 + 6 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (75925870633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100297998 + ... + 100298754.

It is an arithmetic number, because the mean of its divisors is an integer number (1109461860).

Almost surely, 2^75925870632 is an apocalyptic number.

75925870632 is a gapful number since it is divisible by the number (72) 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 75925870632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106508338560).

75925870632 is an abundant number, since it is smaller than the sum of its proper divisors (137090806488).

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

75925870632 is a wasteful number, since it uses less digits than its factorization.

75925870632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 75925870632 in words is "seventy-five billion, nine hundred twenty-five million, eight hundred seventy thousand, six hundred thirty-two".