977627379479040 has 960 divisors, whose sum is σ = 3578103576178560. Its totient is φ = 246003357450240.

The previous prime is 977627379479033. The next prime is 977627379479053. The reversal of 977627379479040 is 40974973726779.

977627379479040 is a `hidden beast` number, since 9 + 7 + 7 + 6 + 2 + 73 + 79 + 479 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307333346250 + ... + 307333349430.

It is an arithmetic number, because the mean of its divisors is an integer number (3727191225186).

Almost surely, 2^{977627379479040} is an apocalyptic number.

977627379479040 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 977627379479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789051788089280).

977627379479040 is an abundant number, since it is smaller than the sum of its proper divisors (2600476196699520).

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

977627379479040 is a wasteful number, since it uses less digits than its factorization.

977627379479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 7057326528, while the sum is 81.

The spelling of 977627379479040 in words is "nine hundred seventy-seven trillion, six hundred twenty-seven billion, three hundred seventy-nine million, four hundred seventy-nine thousand, forty".