7640801280 has 840 divisors, whose sum is σ = 32542142688. Its totient is φ = 1709309952.

The previous prime is 7640801251. The next prime is 7640801281. The reversal of 7640801280 is 821080467.

7640801280 is a `hidden beast` number, since 7 + 640 + 8 + 0 + 1 + 2 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640801281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162570217 + ... + 162570263.

Almost surely, 2^7640801280 is an apocalyptic number.

7640801280 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 7640801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271071344).

7640801280 is an abundant number, since it is smaller than the sum of its proper divisors (24901341408).

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

7640801280 is an equidigital number, since it uses as much as digits as its factorization.

7640801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7640801280 is about 87411.6770231529. The cubic root of 7640801280 is about 1969.6072533384.

The spelling of 7640801280 in words is "seven billion, six hundred forty million, eight hundred one thousand, two hundred eighty".