7264005429408 has 384 divisors, whose sum is σ = 26156657479680. Its totient is φ = 1708188549120.

The previous prime is 7264005429403. The next prime is 7264005429413. The reversal of 7264005429408 is 8049245004627.

It is an interprime number because it is at equal distance from previous prime (7264005429403) and next prime (7264005429413).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7264005429403) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1534573 + ... + 4108883.

It is an arithmetic number, because the mean of its divisors is an integer number (68116295520).

Almost surely, 2^{7264005429408} is an apocalyptic number.

7264005429408 is a gapful number since it is divisible by the number (78) 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 7264005429408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078328739840).

7264005429408 is an abundant number, since it is smaller than the sum of its proper divisors (18892652050272).

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

7264005429408 is a wasteful number, since it uses less digits than its factorization.

7264005429408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574380 (or 2574372 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 7264005429408 in words is "seven trillion, two hundred sixty-four billion, five million, four hundred twenty-nine thousand, four hundred eight".