978094320493680 has 320 divisors, whose sum is σ = 3841565025352320. Its totient is φ = 226599227080704.

The previous prime is 978094320493657. The next prime is 978094320493723. The reversal of 978094320493680 is 86394023490879.

978094320493680 is a `hidden beast` number, since 9 + 7 + 80 + 9 + 432 + 0 + 4 + 9 + 36 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 978094320493599 and 978094320493608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1024005547 + ... + 1024960266.

It is an arithmetic number, because the mean of its divisors is an integer number (12004890704226).

Almost surely, 2^{978094320493680} is an apocalyptic number.

978094320493680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

978094320493680 is an abundant number, since it is smaller than the sum of its proper divisors (2863470704858640).

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

978094320493680 is a wasteful number, since it uses less digits than its factorization.

978094320493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048965865 (or 2048965853 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 978094320493680 in words is "nine hundred seventy-eight trillion, ninety-four billion, three hundred twenty million, four hundred ninety-three thousand, six hundred eighty".