75240653040 has 240 divisors, whose sum is σ = 298096920576. Its totient is φ = 16643059200.

The previous prime is 75240653029. The next prime is 75240653083. The reversal of 75240653040 is 4035604257.

75240653040 is a `hidden beast` number, since 7 + 524 + 0 + 65 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×75240653040² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 75240652986 and 75240653004.

It is a congruent number.

It is an unprimeable number.

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, 84546 + ... + 397025.

Almost surely, 2^75240653040 is an apocalyptic number.

75240653040 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 75240653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149048460288).

75240653040 is an abundant number, since it is smaller than the sum of its proper divisors (222856267536).

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

75240653040 is a wasteful number, since it uses less digits than its factorization.

75240653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481628 (or 481619 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 75240653040 in words is "seventy-five billion, two hundred forty million, six hundred fifty-three thousand, forty".