628979297604840 has 1280 divisors, whose sum is σ = 2667998773440000. Its totient is φ = 129378912436224.

The previous prime is 628979297604811. The next prime is 628979297604863. The reversal of 628979297604840 is 48406792979826.

628979297604840 is a `hidden beast` number, since 6 + 2 + 8 + 9 + 79 + 2 + 9 + 7 + 60 + 484 + 0 = 666.

628979297604840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×628979297604840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 628979297604840.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1916001036 + ... + 1916329284.

It is an arithmetic number, because the mean of its divisors is an integer number (2084374041750).

Almost surely, 2^{628979297604840} is an apocalyptic number.

628979297604840 is a gapful number since it is divisible by the number (60) 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 628979297604840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333999386720000).

628979297604840 is an abundant number, since it is smaller than the sum of its proper divisors (2039019475835160).

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

628979297604840 is a wasteful number, since it uses less digits than its factorization.

628979297604840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328456 (or 328443 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 628979297604840 in words is "six hundred twenty-eight trillion, nine hundred seventy-nine billion, two hundred ninety-seven million, six hundred four thousand, eight hundred forty".