7530472535040 has 1584 divisors, whose sum is σ = 32923640131200. Its totient is φ = 1577395814400.

The previous prime is 7530472535023. The next prime is 7530472535057. The reversal of 7530472535040 is 405352740357.

7530472535040 is a `hidden beast` number, since 7 + 5 + 3 + 0 + 4 + 72 + 535 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7530472535023) and next prime (7530472535057).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4432296111 + ... + 4432297809.

Almost surely, 2^{7530472535040} is an apocalyptic number.

7530472535040 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 7530472535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461820065600).

7530472535040 is an abundant number, since it is smaller than the sum of its proper divisors (25393167596160).

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

7530472535040 is a wasteful number, since it uses less digits than its factorization.

7530472535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 7530472535040 in words is "seven trillion, five hundred thirty billion, four hundred seventy-two million, five hundred thirty-five thousand, forty".