35978561424 has 480 divisors, whose sum is σ = 121066358400. Its totient is φ = 10189670400.

The previous prime is 35978561413. The next prime is 35978561459. The reversal of 35978561424 is 42416587953.

It is a happy number.

35978561424 is a `hidden beast` number, since 3 + 5 + 9 + 78 + 561 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7257600) is a multiple of the sum of its prime factors (800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51324274 + ... + 51324974.

It is an arithmetic number, because the mean of its divisors is an integer number (252221580).

Almost surely, 2^35978561424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35978561424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60533179200).

35978561424 is an abundant number, since it is smaller than the sum of its proper divisors (85087796976).

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

35978561424 is a wasteful number, since it uses less digits than its factorization.

35978561424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 775 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 35978561424 in words is "thirty-five billion, nine hundred seventy-eight million, five hundred sixty-one thousand, four hundred twenty-four".