7464079350 has 324 divisors, whose sum is σ = 25272602316. Its totient is φ = 1574052480.

The previous prime is 7464079349. The next prime is 7464079367. The reversal of 7464079350 is 539704647.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 7464079296 and 7464079305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3725449 + ... + 3727451.

It is an arithmetic number, because the mean of its divisors is an integer number (78001859).

Almost surely, 2^7464079350 is an apocalyptic number.

7464079350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7464079350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636301158).

7464079350 is an abundant number, since it is smaller than the sum of its proper divisors (17808522966).

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

7464079350 is a wasteful number, since it uses less digits than its factorization.

7464079350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7464079350 is about 86394.9034955188. The cubic root of 7464079350 is about 1954.3038274064.

The spelling of 7464079350 in words is "seven billion, four hundred sixty-four million, seventy-nine thousand, three hundred fifty".