73690531600 has 225 divisors, whose sum is σ = 207284439327. Its totient is φ = 25174114560.

The previous prime is 73690531571. The next prime is 73690531609. The reversal of 73690531600 is 613509637.

The square root of 73690531600 is 271460.

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 16886482704 + 56804048896 = 129948^2 + 238336^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (73690531609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 266030662 + ... + 266030938.

Almost surely, 2^73690531600 is an apocalyptic number.

73690531600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73690531600 is the 271460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73690531600

73690531600 is an abundant number, since it is smaller than the sum of its proper divisors (133593907727).

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

73690531600 is an frugal number, since it uses more digits than its factorization.

73690531600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 73690531600 in words is "seventy-three billion, six hundred ninety million, five hundred thirty-one thousand, six hundred".