74970820512 has 384 divisors, whose sum is σ = 254809497600. Its totient is φ = 21003660288.

The previous prime is 74970820469. The next prime is 74970820517. The reversal of 74970820512 is 21502807947.

It is a happy number.

74970820512 is a `hidden beast` number, since 7 + 49 + 70 + 8 + 20 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (74970820517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82657563 + ... + 82658469.

It is an arithmetic number, because the mean of its divisors is an integer number (663566400).

Almost surely, 2^74970820512 is an apocalyptic number.

74970820512 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 74970820512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127404748800).

74970820512 is an abundant number, since it is smaller than the sum of its proper divisors (179838677088).

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

74970820512 is a wasteful number, since it uses less digits than its factorization.

74970820512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 74970820512 in words is "seventy-four billion, nine hundred seventy million, eight hundred twenty thousand, five hundred twelve".