7264733857920 has 1280 divisors, whose sum is σ = 34248350949120. Its totient is φ = 1420744458240.

The previous prime is 7264733857919. The next prime is 7264733857987. The reversal of 7264733857920 is 297583374627.

7264733857920 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 7 + 3 + 38 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67805032 + ... + 67912088.

It is an arithmetic number, because the mean of its divisors is an integer number (26756524179).

Almost surely, 2^{7264733857920} is an apocalyptic number.

7264733857920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7264733857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124175474560).

7264733857920 is an abundant number, since it is smaller than the sum of its proper divisors (26983617091200).

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

7264733857920 is a wasteful number, since it uses less digits than its factorization.

7264733857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107123 (or 107102 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 7264733857920 in words is "seven trillion, two hundred sixty-four billion, seven hundred thirty-three million, eight hundred fifty-seven thousand, nine hundred twenty".