977821042464 has 288 divisors, whose sum is σ = 3340315480320. Its totient is φ = 265278283776.

The previous prime is 977821042453. The next prime is 977821042481. The reversal of 977821042464 is 464240128779.

977821042464 is a `hidden beast` number, since 9 + 7 + 78 + 2 + 104 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×977821042464² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 977821042464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6275452 + ... + 6429380.

It is an arithmetic number, because the mean of its divisors is an integer number (11598317640).

Almost surely, 2^977821042464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977821042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670157740160).

977821042464 is an abundant number, since it is smaller than the sum of its proper divisors (2362494437856).

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

977821042464 is a wasteful number, since it uses less digits than its factorization.

977821042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154112 (or 154101 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 977821042464 in words is "nine hundred seventy-seven billion, eight hundred twenty-one million, forty-two thousand, four hundred sixty-four".