7407396864 has 240 divisors, whose sum is σ = 25290064800. Its totient is φ = 2116067328.

The previous prime is 7407396853. The next prime is 7407396869. The reversal of 7407396864 is 4686937047.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7407396864.

It is not an unprimeable number, because it can be changed into a prime (7407396869) 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 19 ways as a sum of consecutive naturals, for example, 1158027 + ... + 1164405.

It is an arithmetic number, because the mean of its divisors is an integer number (105375270).

Almost surely, 2^7407396864 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 7407396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645032400).

7407396864 is an abundant number, since it is smaller than the sum of its proper divisors (17882667936).

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

7407396864 is an equidigital number, since it uses as much as digits as its factorization.

7407396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7407396864 is about 86066.2353307033. The cubic root of 7407396864 is about 1949.3442339348.

The spelling of 7407396864 in words is "seven billion, four hundred seven million, three hundred ninety-six thousand, eight hundred sixty-four".