7368496128 has 550 divisors, whose sum is σ = 26363308906. Its totient is φ = 2048385024.

The previous prime is 7368496127. The next prime is 7368496129. The reversal of 7368496128 is 8216948637.

7368496128 is a `hidden beast` number, since 73 + 68 + 496 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (7368496127) and next prime (7368496129).

It can be written as a sum of positive squares in only one way, i.e., 7169347584 + 199148544 = 84672^2 + 14112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (7368496123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 199148526 + ... + 199148562.

Almost surely, 2^7368496128 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 7368496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13181654453).

7368496128 is an abundant number, since it is smaller than the sum of its proper divisors (18994812778).

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

7368496128 is an frugal number, since it uses more digits than its factorization.

7368496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 7368496128 is about 85839.9448275685. The cubic root of 7368496128 is about 1945.9258464230.

The spelling of 7368496128 in words is "seven billion, three hundred sixty-eight million, four hundred ninety-six thousand, one hundred twenty-eight".