7540627050 has 288 divisors, whose sum is σ = 23314936320. Its totient is φ = 1729411200.

The previous prime is 7540627007. The next prime is 7540627097. The reversal of 7540627050 is 507260457.

7540627050 is a `hidden beast` number, since 7 + 540 + 62 + 7 + 0 + 50 = 666.

It is a super-2 number, since 2×7540627050² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7540626996 and 7540627014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12181641 + ... + 12182259.

It is an arithmetic number, because the mean of its divisors is an integer number (80954640).

Almost surely, 2^7540627050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7540627050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657468160).

7540627050 is an abundant number, since it is smaller than the sum of its proper divisors (15774309270).

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

7540627050 is a wasteful number, since it uses less digits than its factorization.

7540627050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7540627050 is about 86836.7839685464. The cubic root of 7540627050 is about 1960.9618916359.

The spelling of 7540627050 in words is "seven billion, five hundred forty million, six hundred twenty-seven thousand, fifty".