7440991920 has 240 divisors, whose sum is σ = 25393642560. Its totient is φ = 1952446464.

The previous prime is 7440991897. The next prime is 7440991931. The reversal of 7440991920 is 291990447.

It is a happy number.

7440991920 is a `hidden beast` number, since 74 + 409 + 91 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×7440991920³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19948854 + ... + 19949226.

It is an arithmetic number, because the mean of its divisors is an integer number (105806844).

Almost surely, 2^7440991920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7440991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696821280).

7440991920 is an abundant number, since it is smaller than the sum of its proper divisors (17952650640).

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

7440991920 is a wasteful number, since it uses less digits than its factorization.

7440991920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7440991920 is about 86261.1843183248. The cubic root of 7440991920 is about 1952.2867689297.

The spelling of 7440991920 in words is "seven billion, four hundred forty million, nine hundred ninety-one thousand, nine hundred twenty".