1951678656 has 168 divisors, whose sum is σ = 5975299200. Its totient is φ = 607703040.

The previous prime is 1951678643. The next prime is 1951678661. The reversal of 1951678656 is 6568761591.

1951678656 is a `hidden beast` number, since 1 + 9 + 516 + 78 + 6 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515940 + ... + 519708.

Almost surely, 2^1951678656 is an apocalyptic number.

1951678656 is a gapful number since it is divisible by the number (16) 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 1951678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987649600).

1951678656 is an abundant number, since it is smaller than the sum of its proper divisors (4023620544).

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

1951678656 is a wasteful number, since it uses less digits than its factorization.

1951678656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3834 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 1951678656 is about 44177.8072792211. The cubic root of 1951678656 is about 1249.6913704178.

The spelling of 1951678656 in words is "one billion, nine hundred fifty-one million, six hundred seventy-eight thousand, six hundred fifty-six".