4075897513968 has 320 divisors, whose sum is σ = 13470771148800. Its totient is φ = 1155837081600.

The previous prime is 4075897513957. The next prime is 4075897514053. The reversal of 4075897513968 is 8693157985704.

4075897513968 is a `hidden beast` number, since 4 + 0 + 7 + 589 + 7 + 5 + 1 + 39 + 6 + 8 = 666.

It is a super-2 number, since 2×4075897513968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4075897513896 and 4075897513905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654339078 + ... + 654345306.

It is an arithmetic number, because the mean of its divisors is an integer number (42096159840).

Almost surely, 2^{4075897513968} is an apocalyptic number.

4075897513968 is a gapful number since it is divisible by the number (48) 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 4075897513968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735385574400).

4075897513968 is an abundant number, since it is smaller than the sum of its proper divisors (9394873634832).

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

4075897513968 is a wasteful number, since it uses less digits than its factorization.

4075897513968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 4075897513968 in words is "four trillion, seventy-five billion, eight hundred ninety-seven million, five hundred thirteen thousand, nine hundred sixty-eight".