1979254960074 has 256 divisors, whose sum is σ = 5218836480000. Its totient is φ = 544324354560.

The previous prime is 1979254960043. The next prime is 1979254960097. The reversal of 1979254960074 is 4700694529791.

1979254960074 is a `hidden beast` number, since 1 + 9 + 79 + 2 + 5 + 496 + 0 + 0 + 74 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1979254959993 and 1979254960020.

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, 338389102 + ... + 338394950.

It is an arithmetic number, because the mean of its divisors is an integer number (20386080000).

Almost surely, 2^{1979254960074} is an apocalyptic number.

1979254960074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1979254960074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609418240000).

1979254960074 is an abundant number, since it is smaller than the sum of its proper divisors (3239581519926).

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

1979254960074 is a wasteful number, since it uses less digits than its factorization.

1979254960074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 1979254960074 in words is "one trillion, nine hundred seventy-nine billion, two hundred fifty-four million, nine hundred sixty thousand, seventy-four".