676090679427072 has 2048 divisors, whose sum is σ = 2607477807513600. Its totient is φ = 168323501260800.

The previous prime is 676090679426969. The next prime is 676090679427101. The reversal of 676090679427072 is 270724976090676.

It is a happy number.

676090679427072 is a `hidden beast` number, since 6 + 7 + 60 + 9 + 0 + 6 + 79 + 427 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102329447193 + ... + 102329453799.

It is an arithmetic number, because the mean of its divisors is an integer number (1273182523200).

Almost surely, 2^{676090679427072} is an apocalyptic number.

676090679427072 is a gapful number since it is divisible by the number (62) 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 676090679427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303738903756800).

676090679427072 is an abundant number, since it is smaller than the sum of its proper divisors (1931387128086528).

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

676090679427072 is a wasteful number, since it uses less digits than its factorization.

676090679427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 676090679427072 in words is "six hundred seventy-six trillion, ninety billion, six hundred seventy-nine million, four hundred twenty-seven thousand, seventy-two".