7540162560 has 480 divisors, whose sum is σ = 30701368320. Its totient is φ = 1719926784.

The previous prime is 7540162543. The next prime is 7540162573. The reversal of 7540162560 is 652610457.

It is a happy number.

7540162560 is a `hidden beast` number, since 7 + 540 + 1 + 62 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482637 + ... + 15483123.

It is an arithmetic number, because the mean of its divisors is an integer number (63961184).

Almost surely, 2^7540162560 is an apocalyptic number.

7540162560 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 7540162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350684160).

7540162560 is an abundant number, since it is smaller than the sum of its proper divisors (23161205760).

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

7540162560 is an equidigital number, since it uses as much as digits as its factorization.

7540162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7540162560 is about 86834.1094271140. The cubic root of 7540162560 is about 1960.9216268194.

The spelling of 7540162560 in words is "seven billion, five hundred forty million, one hundred sixty-two thousand, five hundred sixty".