73650748500 has 864 divisors, whose sum is σ = 285475881600. Its totient is φ = 16525555200.

The previous prime is 73650748469. The next prime is 73650748531. The reversal of 73650748500 is 584705637.

73650748500 is a `hidden beast` number, since 73 + 6 + 5 + 0 + 74 + 8 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (73650748469) and next prime (73650748531).

It is a super-2 number, since 2×73650748500² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 529861431 + ... + 529861569.

It is an arithmetic number, because the mean of its divisors is an integer number (330411900).

Almost surely, 2^73650748500 is an apocalyptic number.

73650748500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73650748500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142737940800).

73650748500 is an abundant number, since it is smaller than the sum of its proper divisors (211825133100).

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

73650748500 is a wasteful number, since it uses less digits than its factorization.

73650748500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 73650748500 in words is "seventy-three billion, six hundred fifty million, seven hundred forty-eight thousand, five hundred".