4073764500 has 288 divisors, whose sum is σ = 14023376640. Its totient is φ = 989510400.

The previous prime is 4073764399. The next prime is 4073764507. The reversal of 4073764500 is 54673704.

4073764500 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 7 + 645 + 0 + 0 = 666.

4073764500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4073764500³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073764507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4855081 + ... + 4855919.

It is an arithmetic number, because the mean of its divisors is an integer number (48692280).

Almost surely, 2^4073764500 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 4073764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011688320).

4073764500 is an abundant number, since it is smaller than the sum of its proper divisors (9949612140).

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

4073764500 is a wasteful number, since it uses less digits than its factorization.

4073764500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4073764500 is about 63826.0487575410. The cubic root of 4073764500 is about 1597.0994977105.

The spelling of 4073764500 in words is "four billion, seventy-three million, seven hundred sixty-four thousand, five hundred".