7621419409968 has 360 divisors, whose sum is σ = 25140272647248. Its totient is φ = 1982502273024.

The previous prime is 7621419409951. The next prime is 7621419410009. The reversal of 7621419409968 is 8699049141267.

It is a super-2 number, since 2×7621419409968² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7621419409899 and 7621419409908.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28885296 + ... + 29147952.

Almost surely, 2^{7621419409968} is an apocalyptic number.

7621419409968 is a gapful number since it is divisible by the number (78) 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 7621419409968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570136323624).

7621419409968 is an abundant number, since it is smaller than the sum of its proper divisors (17518853237280).

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

7621419409968 is a wasteful number, since it uses less digits than its factorization.

7621419409968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262781 (or 262755 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 7621419409968 in words is "seven trillion, six hundred twenty-one billion, four hundred nineteen million, four hundred nine thousand, nine hundred sixty-eight".