1627096778496 has 432 divisors, whose sum is σ = 5748500059680. Its totient is φ = 452316856320.

The previous prime is 1627096778473. The next prime is 1627096778497. The reversal of 1627096778496 is 6948776907261.

1627096778496 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 0 + 9 + 67 + 78 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1627096778496² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1627096778497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12466536 + ... + 12596376.

Almost surely, 2^{1627096778496} is an apocalyptic number.

1627096778496 is a gapful number since it is divisible by the number (16) 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 1627096778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874250029840).

1627096778496 is an abundant number, since it is smaller than the sum of its proper divisors (4121403281184).

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

1627096778496 is a wasteful number, since it uses less digits than its factorization.

1627096778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129917 (or 129890 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 1627096778496 in words is "one trillion, six hundred twenty-seven billion, ninety-six million, seven hundred seventy-eight thousand, four hundred ninety-six".