7540933950 has 288 divisors, whose sum is σ = 24275946240. Its totient is φ = 1720051200.

The previous prime is 7540933943. The next prime is 7540933957. The reversal of 7540933950 is 593390457.

It is an interprime number because it is at equal distance from previous prime (7540933943) and next prime (7540933957).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 7540933896 and 7540933905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540933957) by changing a digit.

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, 2270391 + ... + 2273709.

It is an arithmetic number, because the mean of its divisors is an integer number (84291480).

Almost surely, 2^7540933950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7540933950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12137973120).

7540933950 is an abundant number, since it is smaller than the sum of its proper divisors (16735012290).

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

7540933950 is a wasteful number, since it uses less digits than its factorization.

7540933950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 7540933950 is about 86838.5510588471. The cubic root of 7540933950 is about 1960.9884946861.

The spelling of 7540933950 in words is "seven billion, five hundred forty million, nine hundred thirty-three thousand, nine hundred fifty".