7401642728220 has 768 divisors, whose sum is σ = 26450269493760. Its totient is φ = 1705594060800.

The previous prime is 7401642728219. The next prime is 7401642728231. The reversal of 7401642728220 is 228272461047.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 777397060 + ... + 777406580.

It is an arithmetic number, because the mean of its divisors is an integer number (34440455070).

Almost surely, 2^{7401642728220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7401642728220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225134746880).

7401642728220 is an abundant number, since it is smaller than the sum of its proper divisors (19048626765540).

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

7401642728220 is a wasteful number, since it uses less digits than its factorization.

7401642728220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 7401642728220 in words is "seven trillion, four hundred one billion, six hundred forty-two million, seven hundred twenty-eight thousand, two hundred twenty".