7449971760 has 960 divisors, whose sum is σ = 33383577600. Its totient is φ = 1528450560.

The previous prime is 7449971759. The next prime is 7449971777. The reversal of 7449971760 is 671799447.

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

It is a junction number, because it is equal to n+sod(n) for n = 7449971697 and 7449971706.

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, 94303401 + ... + 94303479.

It is an arithmetic number, because the mean of its divisors is an integer number (34774560).

Almost surely, 2^7449971760 is an apocalyptic number.

7449971760 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 7449971760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16691788800).

7449971760 is an abundant number, since it is smaller than the sum of its proper divisors (25933605840).

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

7449971760 is a wasteful number, since it uses less digits than its factorization.

7449971760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7449971760 is about 86313.2189180777. The cubic root of 7449971760 is about 1953.0717975686.

The spelling of 7449971760 in words is "seven billion, four hundred forty-nine million, nine hundred seventy-one thousand, seven hundred sixty".