7540512490080 has 288 divisors, whose sum is σ = 27339947107200. Its totient is φ = 1892519006208.

The previous prime is 7540512490039. The next prime is 7540512490087. The reversal of 7540512490080 is 800942150457.

7540512490080 is a `hidden beast` number, since 7 + 5 + 40 + 512 + 4 + 90 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7540512490080² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (7540512490087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6541801 + ... + 7607639.

It is an arithmetic number, because the mean of its divisors is an integer number (94930371900).

Almost surely, 2^{7540512490080} 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 7540512490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669973553600).

7540512490080 is an abundant number, since it is smaller than the sum of its proper divisors (19799434617120).

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

7540512490080 is a wasteful number, since it uses less digits than its factorization.

7540512490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065911 (or 1065866 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 7540512490080 in words is "seven trillion, five hundred forty billion, five hundred twelve million, four hundred ninety thousand, eighty".