975575371680 has 1728 divisors, whose sum is σ = 4337146404864. Its totient is φ = 194387558400.

The previous prime is 975575371657. The next prime is 975575371699. The reversal of 975575371680 is 86173575579.

975575371680 is a `hidden beast` number, since 9 + 7 + 5 + 5 + 7 + 537 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 7681695777 + ... + 7681695903.

It is an arithmetic number, because the mean of its divisors is an integer number (2509922688).

Almost surely, 2^975575371680 is an apocalyptic number.

975575371680 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 975575371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168573202432).

975575371680 is an abundant number, since it is smaller than the sum of its proper divisors (3361571033184).

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

975575371680 is a wasteful number, since it uses less digits than its factorization.

975575371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 975575371680 in words is "nine hundred seventy-five billion, five hundred seventy-five million, three hundred seventy-one thousand, six hundred eighty".