7434921312 has 864 divisors, whose sum is σ = 29279577600. Its totient is φ = 1834140672.

The previous prime is 7434921311. The next prime is 7434921317. The reversal of 7434921312 is 2131294347.

It is a happy number.

7434921312 is a `hidden beast` number, since 7 + 434 + 9 + 213 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7434921311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94112889 + ... + 94112967.

It is an arithmetic number, because the mean of its divisors is an integer number (33888400).

Almost surely, 2^7434921312 is an apocalyptic number.

7434921312 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 7434921312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639788800).

7434921312 is an abundant number, since it is smaller than the sum of its proper divisors (21844656288).

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

7434921312 is a wasteful number, since it uses less digits than its factorization.

7434921312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 7434921312 is about 86225.9897710661. The cubic root of 7434921312 is about 1951.7557110531.

The spelling of 7434921312 in words is "seven billion, four hundred thirty-four million, nine hundred twenty-one thousand, three hundred twelve".