977272388640 has 288 divisors, whose sum is σ = 3389704246656. Its totient is φ = 256343592960.

The previous prime is 977272388557. The next prime is 977272388641. The reversal of 977272388640 is 46883272779.

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

It is a super-2 number, since 2×977272388640² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (977272388641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45281532 + ... + 45303108.

It is an arithmetic number, because the mean of its divisors is an integer number (11769806412).

Almost surely, 2^977272388640 is an apocalyptic number.

977272388640 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 977272388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694852123328).

977272388640 is an abundant number, since it is smaller than the sum of its proper divisors (2412431858016).

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

977272388640 is a wasteful number, since it uses less digits than its factorization.

977272388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22112 (or 22101 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 977272388640 in words is "nine hundred seventy-seven billion, two hundred seventy-two million, three hundred eighty-eight thousand, six hundred forty".