73886746147600 has 135 divisors (see below), whose sum is σ = 179201855407743. Its totient is φ = 29276127717120.

The previous prime is 73886746147547. The next prime is 73886746147609. The reversal of 73886746147600 is 674164768837.

The square root of 73886746147600 is 8595740.

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

It can be written as a sum of positive squares in 4 ways, for example, as 270895266576 + 73615850881024 = 520476^2 + 8579968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73886746147609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18738711229 + ... + 18738715171.

Almost surely, 2^{73886746147600} is an apocalyptic number.

73886746147600 is the 8595740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73886746147600

73886746147600 is an abundant number, since it is smaller than the sum of its proper divisors (105315109260143).

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

73886746147600 is an frugal number, since it uses more digits than its factorization.

73886746147600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 67.

The spelling of 73886746147600 in words is "seventy-three trillion, eight hundred eighty-six billion, seven hundred forty-six million, one hundred forty-seven thousand, six hundred".