7350419952 has 160 divisors (see below), whose sum is σ = 22288851200. Its totient is φ = 2312831232.

The previous prime is 7350419929. The next prime is 7350419977. The reversal of 7350419952 is 2599140537.

It is a happy number.

7350419952 is a `hidden beast` number, since 7 + 3 + 504 + 1 + 99 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7350419898 and 7350419907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518398 + ... + 2521314.

It is an arithmetic number, because the mean of its divisors is an integer number (139305320).

Almost surely, 2^7350419952 is an apocalyptic number.

7350419952 is a gapful number since it is divisible by the number (72) 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 7350419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144425600).

7350419952 is an abundant number, since it is smaller than the sum of its proper divisors (14938431248).

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

7350419952 is a wasteful number, since it uses less digits than its factorization.

7350419952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 7350419952 is about 85734.5901722286. The cubic root of 7350419952 is about 1944.3333142846. Note that the first 4 decimals are identical.

The spelling of 7350419952 in words is "seven billion, three hundred fifty million, four hundred nineteen thousand, nine hundred fifty-two".