7354945920 has 512 divisors, whose sum is σ = 28075622400. Its totient is φ = 1602478080.

The previous prime is 7354945919. The next prime is 7354945963. The reversal of 7354945920 is 295494537.

It is a super-2 number, since 2×7354945920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7354945920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52913211 + ... + 52913349.

It is an arithmetic number, because the mean of its divisors is an integer number (54835200).

Almost surely, 2^7354945920 is an apocalyptic number.

7354945920 is a gapful number since it is divisible by the number (70) 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 7354945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14037811200).

7354945920 is an abundant number, since it is smaller than the sum of its proper divisors (20720676480).

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

7354945920 is a wasteful number, since it uses less digits than its factorization.

7354945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 7354945920 is about 85760.9813376689. The cubic root of 7354945920 is about 1944.7323021366.

The spelling of 7354945920 in words is "seven billion, three hundred fifty-four million, nine hundred forty-five thousand, nine hundred twenty".