7464266964 has 576 divisors, whose sum is σ = 26711193600. Its totient is φ = 1763596800.

The previous prime is 7464266951. The next prime is 7464267007. The reversal of 7464266964 is 4696624647.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10450944) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 7464266964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41238954 + ... + 41239134.

It is an arithmetic number, because the mean of its divisors is an integer number (46373600).

Almost surely, 2^7464266964 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 7464266964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355596800).

7464266964 is an abundant number, since it is smaller than the sum of its proper divisors (19246926636).

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

7464266964 is a wasteful number, since it uses less digits than its factorization.

7464266964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 7464266964 is about 86395.9892819105. The cubic root of 7464266964 is about 1954.3202014591.

The spelling of 7464266964 in words is "seven billion, four hundred sixty-four million, two hundred sixty-six thousand, nine hundred sixty-four".