75472750080 has 1280 divisors, whose sum is σ = 336578457600. Its totient is φ = 15699640320.

The previous prime is 75472750069. The next prime is 75472750081. The reversal of 75472750080 is 8005727457.

75472750080 is a `hidden beast` number, since 7 + 5 + 47 + 27 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×75472750080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75472750081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1062996445 + ... + 1062996515.

It is an arithmetic number, because the mean of its divisors is an integer number (262951920).

Almost surely, 2^75472750080 is an apocalyptic number.

75472750080 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 75472750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168289228800).

75472750080 is an abundant number, since it is smaller than the sum of its proper divisors (261105707520).

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

75472750080 is an equidigital number, since it uses as much as digits as its factorization.

75472750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 75472750080 in words is "seventy-five billion, four hundred seventy-two million, seven hundred fifty thousand, eighty".