7540356096 has 704 divisors, whose sum is σ = 28575464960. Its totient is φ = 1934917632.

The previous prime is 7540356071. The next prime is 7540356101. The reversal of 7540356096 is 6906530457.

7540356096 is a `hidden beast` number, since 7 + 5 + 4 + 0 + 35 + 609 + 6 = 666.

It is a super-2 number, since 2×7540356096² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 203793390 + ... + 203793426.

Almost surely, 2^7540356096 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 7540356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287732480).

7540356096 is an abundant number, since it is smaller than the sum of its proper divisors (21035108864).

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

7540356096 is an equidigital number, since it uses as much as digits as its factorization.

7540356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 7540356096 is about 86835.2238207514. The cubic root of 7540356096 is about 1960.9384038972.

The spelling of 7540356096 in words is "seven billion, five hundred forty million, three hundred fifty-six thousand, ninety-six".