975472266240 has 528 divisors, whose sum is σ = 3426713372160. Its totient is φ = 256557711360.

The previous prime is 975472266233. The next prime is 975472266277. The reversal of 975472266240 is 42662274579.

It is a happy number.

975472266240 is a `hidden beast` number, since 9 + 7 + 5 + 4 + 7 + 2 + 2 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×975472266240² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205774956 + ... + 1205775764.

Almost surely, 2^975472266240 is an apocalyptic number.

975472266240 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 975472266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713356686080).

975472266240 is an abundant number, since it is smaller than the sum of its proper divisors (2451241105920).

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

975472266240 is a wasteful number, since it uses less digits than its factorization.

975472266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 975472266240 in words is "nine hundred seventy-five billion, four hundred seventy-two million, two hundred sixty-six thousand, two hundred forty".