74628405124 has 243 divisors, whose sum is σ = 175846914117. Its totient is φ = 27615422016.

The previous prime is 74628405107. The next prime is 74628405127. The reversal of 74628405124 is 42150482647.

The square root of 74628405124 is 273182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11039704900 + 63588700224 = 105070^2 + 252168^2 .

It is not an unprimeable number, because it can be changed into a prime (74628405127) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 944663317 + ... + 944663395.

Almost surely, 2^74628405124 is an apocalyptic number.

74628405124 is the 273182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74628405124

74628405124 is an abundant number, since it is smaller than the sum of its proper divisors (101218508993).

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

74628405124 is a wasteful number, since it uses less digits than its factorization.

74628405124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 74628405124 in words is "seventy-four billion, six hundred twenty-eight million, four hundred five thousand, one hundred twenty-four".