7628298678 has 288 divisors, whose sum is σ = 23103325440. Its totient is φ = 1764322560.

The previous prime is 7628298661. The next prime is 7628298683. The reversal of 7628298678 is 8768928267.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6792225 + ... + 6793347.

It is an arithmetic number, because the mean of its divisors is an integer number (80219880).

Almost surely, 2^7628298678 is an apocalyptic number.

7628298678 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628298678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551662720).

7628298678 is an abundant number, since it is smaller than the sum of its proper divisors (15475026762).

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

7628298678 is a wasteful number, since it uses less digits than its factorization.

7628298678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1188 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 7628298678 is about 87340.1321157691. The cubic root of 7628298678 is about 1968.5323809407.

The spelling of 7628298678 in words is "seven billion, six hundred twenty-eight million, two hundred ninety-eight thousand, six hundred seventy-eight".