7628846351490 has 896 divisors, whose sum is σ = 26768465805312. Its totient is φ = 1521278599680.

The previous prime is 7628846351473. The next prime is 7628846351509. The reversal of 7628846351490 is 941536488267.

7628846351490 is a `hidden beast` number, since 7 + 6 + 2 + 8 + 84 + 63 + 5 + 1 + 490 = 666.

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

It is a Curzon 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 447 ways as a sum of consecutive naturals, for example, 884294557 + ... + 884303183.

It is an arithmetic number, because the mean of its divisors is an integer number (29875519872).

It is a 1-persistent number, because it is pandigital, but 2⋅7628846351490 = 15257692702980 is not.

Almost surely, 2^{7628846351490} is an apocalyptic number.

7628846351490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628846351490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384232902656).

7628846351490 is an abundant number, since it is smaller than the sum of its proper divisors (19139619453822).

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

7628846351490 is a wasteful number, since it uses less digits than its factorization.

7628846351490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8746 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 7628846351490 in words is "seven trillion, six hundred twenty-eight billion, eight hundred forty-six million, three hundred fifty-one thousand, four hundred ninety".