7496436987648 has 648 divisors, whose sum is σ = 25820666071200. Its totient is φ = 2084367237120.

The previous prime is 7496436987583. The next prime is 7496436987649. The reversal of 7496436987648 is 8467896346947.

7496436987648 is a `hidden beast` number, since 7 + 4 + 96 + 436 + 98 + 7 + 6 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7496436987649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2078300661 + ... + 2078304267.

It is an arithmetic number, because the mean of its divisors is an integer number (39846706900).

Almost surely, 2^{7496436987648} 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 7496436987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12910333035600).

7496436987648 is an abundant number, since it is smaller than the sum of its proper divisors (18324229083552).

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

7496436987648 is a wasteful number, since it uses less digits than its factorization.

7496436987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4109 counting only the distinct ones).

The product of its digits is 10534551552, while the sum is 81.

The spelling of 7496436987648 in words is "seven trillion, four hundred ninety-six billion, four hundred thirty-six million, nine hundred eighty-seven thousand, six hundred forty-eight".