2978417757168 has 640 divisors, whose sum is σ = 10394334720000. Its totient is φ = 798598434816.

The previous prime is 2978417757101. The next prime is 2978417757241. The reversal of 2978417757168 is 8617577148792.

2978417757168 is a `hidden beast` number, since 2 + 9 + 7 + 8 + 41 + 7 + 7 + 571 + 6 + 8 = 666.

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 = 2978417757096 and 2978417757105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 506616853 + ... + 506622731.

It is an arithmetic number, because the mean of its divisors is an integer number (16241148000).

Almost surely, 2^{2978417757168} is an apocalyptic number.

2978417757168 is a gapful number since it is divisible by the number (28) 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 2978417757168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197167360000).

2978417757168 is an abundant number, since it is smaller than the sum of its proper divisors (7415916962832).

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

2978417757168 is a wasteful number, since it uses less digits than its factorization.

2978417757168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6082 counting only the distinct ones).

The product of its digits is 331914240, while the sum is 72.

The spelling of 2978417757168 in words is "two trillion, nine hundred seventy-eight billion, four hundred seventeen million, seven hundred fifty-seven thousand, one hundred sixty-eight".