7491566880 has 720 divisors, whose sum is σ = 31535070336. Its totient is φ = 1669248000.

The previous prime is 7491566869. The next prime is 7491566881. The reversal of 7491566880 is 886651947.

7491566880 is a `hidden beast` number, since 74 + 9 + 1 + 566 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7491566880² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7491566881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29846755 + ... + 29847005.

Almost surely, 2^7491566880 is an apocalyptic number.

7491566880 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 7491566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767535168).

7491566880 is an abundant number, since it is smaller than the sum of its proper divisors (24043503456).

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

7491566880 is a wasteful number, since it uses less digits than its factorization.

7491566880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 7491566880 is about 86553.8380431509. The cubic root of 7491566880 is about 1956.6998887985.

The spelling of 7491566880 in words is "seven billion, four hundred ninety-one million, five hundred sixty-six thousand, eight hundred eighty".