7455896640 has 448 divisors, whose sum is σ = 27436389120. Its totient is φ = 1904394240.

The previous prime is 7455896597. The next prime is 7455896663. The reversal of 7455896640 is 466985547.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26533300 + ... + 26533580.

It is an arithmetic number, because the mean of its divisors is an integer number (61241940).

Almost surely, 2^7455896640 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 7455896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718194560).

7455896640 is an abundant number, since it is smaller than the sum of its proper divisors (19980492480).

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

7455896640 is a wasteful number, since it uses less digits than its factorization.

7455896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 7455896640 is about 86347.5340701748. The cubic root of 7455896640 is about 1953.5894124957.

The spelling of 7455896640 in words is "seven billion, four hundred fifty-five million, eight hundred ninety-six thousand, six hundred forty".