977067463680 has 3168 divisors, whose sum is σ = 4696970084352. Its totient is φ = 192297369600.

The previous prime is 977067463657. The next prime is 977067463717. The reversal of 977067463680 is 86364760779.

977067463680 is a `hidden beast` number, since 97 + 7 + 0 + 6 + 7 + 463 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 287 ways as a sum of consecutive naturals, for example, 20788669417 + ... + 20788669463.

Almost surely, 2^977067463680 is an apocalyptic number.

977067463680 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 977067463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348485042176).

977067463680 is an abundant number, since it is smaller than the sum of its proper divisors (3719902620672).

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

977067463680 is a wasteful number, since it uses less digits than its factorization.

977067463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 977067463680 in words is "nine hundred seventy-seven billion, sixty-seven million, four hundred sixty-three thousand, six hundred eighty".