7540731648 has 216 divisors, whose sum is σ = 22774542336. Its totient is φ = 2396620800.

The previous prime is 7540731637. The next prime is 7540731697. The reversal of 7540731648 is 8461370457.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5070361 + ... + 5071847.

It is an arithmetic number, because the mean of its divisors is an integer number (105437696).

Almost surely, 2^7540731648 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 7540731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387271168).

7540731648 is an abundant number, since it is smaller than the sum of its proper divisors (15233810688).

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

7540731648 is a wasteful number, since it uses less digits than its factorization.

7540731648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7540731648 is about 86837.3862342712. The cubic root of 7540731648 is about 1960.9709585982.

The spelling of 7540731648 in words is "seven billion, five hundred forty million, seven hundred thirty-one thousand, six hundred forty-eight".