7473917952 has 182 divisors, whose sum is σ = 22417718552. Its totient is φ = 2490310656.

The previous prime is 7473917939. The next prime is 7473917959. The reversal of 7473917952 is 2597193747.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7473917959) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2984733 + ... + 2987235.

Almost surely, 2^7473917952 is an apocalyptic number.

7473917952 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 7473917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208859276).

7473917952 is an abundant number, since it is smaller than the sum of its proper divisors (14943800600).

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

7473917952 is an frugal number, since it uses more digits than its factorization.

7473917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2508 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 7473917952 is about 86451.8244573242. The cubic root of 7473917952 is about 1955.1621237293.

The spelling of 7473917952 in words is "seven billion, four hundred seventy-three million, nine hundred seventeen thousand, nine hundred fifty-two".