7568406720 has 840 divisors, whose sum is σ = 32163745680. Its totient is φ = 1683763200.

The previous prime is 7568406649. The next prime is 7568406739. The reversal of 7568406720 is 276048657.

7568406720 is a `hidden beast` number, since 7 + 568 + 4 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×7568406720³ (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 119 ways as a sum of consecutive naturals, for example, 74934670 + ... + 74934770.

Almost surely, 2^7568406720 is an apocalyptic number.

7568406720 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 7568406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16081872840).

7568406720 is an abundant number, since it is smaller than the sum of its proper divisors (24595338960).

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

7568406720 is a wasteful number, since it uses less digits than its factorization.

7568406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7568406720 is about 86996.5902780103. The cubic root of 7568406720 is about 1963.3670017725.

The spelling of 7568406720 in words is "seven billion, five hundred sixty-eight million, four hundred six thousand, seven hundred twenty".