1949878656 has 384 divisors, whose sum is σ = 6549379200. Its totient is φ = 572313600.

The previous prime is 1949878649. The next prime is 1949878657. The reversal of 1949878656 is 6568789491.

1949878656 is a `hidden beast` number, since 19 + 498 + 7 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1949878593 and 1949878602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949878657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14027835 + ... + 14027973.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^1949878656 is an apocalyptic number.

1949878656 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 1949878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274689600).

1949878656 is an abundant number, since it is smaller than the sum of its proper divisors (4599500544).

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

1949878656 is a wasteful number, since it uses less digits than its factorization.

1949878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 1949878656 is about 44157.4303600198. The cubic root of 1949878656 is about 1249.3070625545.

The spelling of 1949878656 in words is "one billion, nine hundred forty-nine million, eight hundred seventy-eight thousand, six hundred fifty-six".