1977122964960 has 1536 divisors, whose sum is σ = 8887064739840. Its totient is φ = 402908774400.

The previous prime is 1977122964937. The next prime is 1977122964967. The reversal of 1977122964960 is 694692217791.

1977122964960 is a `hidden beast` number, since 19 + 7 + 7 + 122 + 9 + 6 + 496 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977122964967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 325556484 + ... + 325562556.

It is an arithmetic number, because the mean of its divisors is an integer number (5785849440).

Almost surely, 2^{1977122964960} is an apocalyptic number.

1977122964960 is a gapful number since it is divisible by the number (10) 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 1977122964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443532369920).

1977122964960 is an abundant number, since it is smaller than the sum of its proper divisors (6909941774880).

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

1977122964960 is a wasteful number, since it uses less digits than its factorization.

1977122964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 1977122964960 in words is "one trillion, nine hundred seventy-seven billion, one hundred twenty-two million, nine hundred sixty-four thousand, nine hundred sixty".