7340734464 has 384 divisors, whose sum is σ = 24040074240. Its totient is φ = 1946419200.

The previous prime is 7340734463. The next prime is 7340734477. The reversal of 7340734464 is 4644370437.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7340734463) 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 31 ways as a sum of consecutive naturals, for example, 40556454 + ... + 40556634.

It is an arithmetic number, because the mean of its divisors is an integer number (62604360).

Almost surely, 2^7340734464 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 7340734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

7340734464 is an abundant number, since it is smaller than the sum of its proper divisors (16699339776).

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

7340734464 is a wasteful number, since it uses less digits than its factorization.

7340734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The square root of 7340734464 is about 85678.0862531371. The cubic root of 7340734464 is about 1943.4789370476.

The spelling of 7340734464 in words is "seven billion, three hundred forty million, seven hundred thirty-four thousand, four hundred sixty-four".