7465188640 has 192 divisors, whose sum is σ = 21786105600. Its totient is φ = 2353950720.

The previous prime is 7465188623. The next prime is 7465188641. The reversal of 7465188640 is 468815647.

It is not an unprimeable number, because it can be changed into a prime (7465188641) 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 31 ways as a sum of consecutive naturals, for example, 4818586 + ... + 4820134.

It is an arithmetic number, because the mean of its divisors is an integer number (113469300).

Almost surely, 2^7465188640 is an apocalyptic number.

7465188640 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 7465188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10893052800).

7465188640 is an abundant number, since it is smaller than the sum of its proper divisors (14320916960).

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

7465188640 is a wasteful number, since it uses less digits than its factorization.

7465188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 7465188640 is about 86401.3231380168. The cubic root of 7465188640 is about 1954.4006369482.

The spelling of 7465188640 in words is "seven billion, four hundred sixty-five million, one hundred eighty-eight thousand, six hundred forty".