7228616640 has 224 divisors, whose sum is σ = 27370552320. Its totient is φ = 1580384256.

The previous prime is 7228616569. The next prime is 7228616677. The reversal of 7228616640 is 466168227.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7228616592 and 7228616601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131176 + ... + 177944.

Almost surely, 2^7228616640 is an apocalyptic number.

7228616640 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 7228616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685276160).

7228616640 is an abundant number, since it is smaller than the sum of its proper divisors (20141935680).

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

7228616640 is a wasteful number, since it uses less digits than its factorization.

7228616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46819 (or 46809 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 7228616640 is about 85021.2716912656. The cubic root of 7228616640 is about 1933.5336338913.

The spelling of 7228616640 in words is "seven billion, two hundred twenty-eight million, six hundred sixteen thousand, six hundred forty".