73957076028900 has 243 divisors, whose sum is σ = 233302857173841. Its totient is φ = 19596054228480.

The previous prime is 73957076028821. The next prime is 73957076028961. The reversal of 73957076028900 is 982067075937.

The square root of 73957076028900 is 8599830.

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

73957076028900 is a `hidden beast` number, since 7 + 39 + 570 + 7 + 6 + 0 + 28 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 25884263924964 + 48072812103936 = 5087658^2 + 6933456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 44633116872 + ... + 44633118528.

Almost surely, 2^{73957076028900} is an apocalyptic number.

73957076028900 is the 8599830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73957076028900

73957076028900 is an abundant number, since it is smaller than the sum of its proper divisors (159345781144941).

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

73957076028900 is a wasteful number, since it uses less digits than its factorization.

73957076028900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 73957076028900 in words is "seventy-three trillion, nine hundred fifty-seven billion, seventy-six million, twenty-eight thousand, nine hundred".