977393067840 has 672 divisors, whose sum is σ = 3978335821824. Its totient is φ = 215526666240.

The previous prime is 977393067839. The next prime is 977393067901. The reversal of 977393067840 is 48760393779.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216858867 + ... + 216863373.

It is an arithmetic number, because the mean of its divisors is an integer number (5920142592).

Almost surely, 2^977393067840 is an apocalyptic number.

977393067840 is a gapful number since it is divisible by the number (90) 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 977393067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989167910912).

977393067840 is an abundant number, since it is smaller than the sum of its proper divisors (3000942753984).

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

977393067840 is a wasteful number, since it uses less digits than its factorization.

977393067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 977393067840 in words is "nine hundred seventy-seven billion, three hundred ninety-three million, sixty-seven thousand, eight hundred forty".