75066516000 has 576 divisors, whose sum is σ = 307982787840. Its totient is φ = 16960204800.

The previous prime is 75066515989. The next prime is 75066516001. The reversal of 75066516000 is 61566057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75066516001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22426327 + ... + 22429673.

It is an arithmetic number, because the mean of its divisors is an integer number (534692340).

Almost surely, 2^75066516000 is an apocalyptic number.

75066516000 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 75066516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153991393920).

75066516000 is an abundant number, since it is smaller than the sum of its proper divisors (232916271840).

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

75066516000 is a wasteful number, since it uses less digits than its factorization.

75066516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 75066516000 in words is "seventy-five billion, sixty-six million, five hundred sixteen thousand".