69677488063680 has 672 divisors, whose sum is σ = 266627752353792. Its totient is φ = 15355572019200.

The previous prime is 69677488063669. The next prime is 69677488063691. The reversal of 69677488063680 is 8636088477696.

It is an interprime number because it is at equal distance from previous prime (69677488063669) and next prime (69677488063691).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 69677488063596 and 69677488063605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395094882 + ... + 395271198.

Almost surely, 2^{69677488063680} is an apocalyptic number.

69677488063680 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 69677488063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133313876176896).

69677488063680 is an abundant number, since it is smaller than the sum of its proper divisors (196950264290112).

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

69677488063680 is a wasteful number, since it uses less digits than its factorization.

69677488063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176653 (or 176636 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 78.

The spelling of 69677488063680 in words is "sixty-nine trillion, six hundred seventy-seven billion, four hundred eighty-eight million, sixty-three thousand, six hundred eighty".