74984861952 has 1296 divisors, whose sum is σ = 303897799296. Its totient is φ = 17252352000.

The previous prime is 74984861951. The next prime is 74984861969. The reversal of 74984861952 is 25916848947.

74984861952 is a `hidden beast` number, since 7 + 4 + 9 + 8 + 4 + 8 + 619 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (34836480) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 74984861952.

It is not an unprimeable number, because it can be changed into a prime (74984861951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1229260002 + ... + 1229260062.

Almost surely, 2^74984861952 is an apocalyptic number.

74984861952 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 74984861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151948899648).

74984861952 is an abundant number, since it is smaller than the sum of its proper divisors (228912937344).

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

74984861952 is a wasteful number, since it uses less digits than its factorization.

74984861952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 74984861952 in words is "seventy-four billion, nine hundred eighty-four million, eight hundred sixty-one thousand, nine hundred fifty-two".