73468102500 has 405 divisors, whose sum is σ = 253109629773. Its totient is φ = 17954352000.

The previous prime is 73468102469. The next prime is 73468102507. The reversal of 73468102500 is 520186437.

The square root of 73468102500 is 271050.

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

73468102500 is a `hidden beast` number, since 7 + 3 + 46 + 8 + 102 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 72566661924 + 901440576 = 269382^2 + 30024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73468102507) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 528547431 + ... + 528547569.

Almost surely, 2^73468102500 is an apocalyptic number.

73468102500 is the 271050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73468102500

73468102500 is an abundant number, since it is smaller than the sum of its proper divisors (179641527273).

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

73468102500 is a wasteful number, since it uses less digits than its factorization.

73468102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 73468102500 by its sum of digits (36), we get a square (2644851690000 = 1626300²).

73468102500 divided by its sum of digits (36) gives a square (2040780625 = 45175²).

Adding to 73468102500 its reverse (520186437), we get a palindrome (73988288937).

The spelling of 73468102500 in words is "seventy-three billion, four hundred sixty-eight million, one hundred two thousand, five hundred".