7420654080 has 640 divisors, whose sum is σ = 30837312000. Its totient is φ = 1690730496.

The previous prime is 7420654061. The next prime is 7420654121. The reversal of 7420654080 is 804560247.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7420654080² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23708004 + ... + 23708316.

It is an arithmetic number, because the mean of its divisors is an integer number (48183300).

Almost surely, 2^7420654080 is an apocalyptic number.

7420654080 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 7420654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418656000).

7420654080 is an abundant number, since it is smaller than the sum of its proper divisors (23416657920).

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

7420654080 is an equidigital number, since it uses as much as digits as its factorization.

7420654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7420654080 is about 86143.2184214172. The cubic root of 7420654080 is about 1950.5064719933.

The spelling of 7420654080 in words is "seven billion, four hundred twenty million, six hundred fifty-four thousand, eighty".