75149383680 has 576 divisors, whose sum is σ = 313379539200. Its totient is φ = 16270295040.

The previous prime is 75149383657. The next prime is 75149383681. The reversal of 75149383680 is 8638394157.

75149383680 is a `hidden beast` number, since 7 + 514 + 93 + 8 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75149383681) 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 47 ways as a sum of consecutive naturals, for example, 12254215 + ... + 12260345.

It is an arithmetic number, because the mean of its divisors is an integer number (544061700).

Almost surely, 2^75149383680 is an apocalyptic number.

75149383680 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 75149383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156689769600).

75149383680 is an abundant number, since it is smaller than the sum of its proper divisors (238230155520).

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

75149383680 is a wasteful number, since it uses less digits than its factorization.

75149383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 75149383680 in words is "seventy-five billion, one hundred forty-nine million, three hundred eighty-three thousand, six hundred eighty".