73975054500 has 144 divisors (see below), whose sum is σ = 235433448432. Its totient is φ = 19551974400.

The previous prime is 73975054493. The next prime is 73975054507. The reversal of 73975054500 is 545057937.

73975054500 is a `hidden beast` number, since 7 + 3 + 97 + 5 + 0 + 54 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (73975054493) and next prime (73975054507).

It can be written as a sum of positive squares in 8 ways, for example, as 59320499364 + 14654555136 = 243558^2 + 121056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73975054507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435762 + ... + 581238.

It is an arithmetic number, because the mean of its divisors is an integer number (1634954503).

Almost surely, 2^73975054500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73975054500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117716724216).

73975054500 is an abundant number, since it is smaller than the sum of its proper divisors (161458393932).

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

73975054500 is a wasteful number, since it uses less digits than its factorization.

73975054500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145615 (or 145600 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 73975054500 in words is "seventy-three billion, nine hundred seventy-five million, fifty-four thousand, five hundred".