7449361920 has 1920 divisors, whose sum is σ = 38607528960. Its totient is φ = 1274019840.

The previous prime is 7449361891. The next prime is 7449361949. The reversal of 7449361920 is 291639447.

It is a happy number.

7449361920 is a `hidden beast` number, since 7 + 4 + 4 + 9 + 3 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (7449361891) and next prime (7449361949).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 392071671 + ... + 392071689.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^7449361920 is an apocalyptic number.

7449361920 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 7449361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480).

7449361920 is an abundant number, since it is smaller than the sum of its proper divisors (31158167040).

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

7449361920 is a wasteful number, since it uses less digits than its factorization.

7449361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7449361920 is about 86309.6861308162. The cubic root of 7449361920 is about 1953.0185045789.

The spelling of 7449361920 in words is "seven billion, four hundred forty-nine million, three hundred sixty-one thousand, nine hundred twenty".