1937713978368 has 2112 divisors, whose sum is σ = 7491351859200. Its totient is φ = 491612405760.

The previous prime is 1937713978309. The next prime is 1937713978379. The reversal of 1937713978368 is 8638793177391.

1937713978368 is a `hidden beast` number, since 1 + 9 + 37 + 71 + 397 + 83 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1937713978296 and 1937713978305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45063115755 + ... + 45063115797.

It is an arithmetic number, because the mean of its divisors is an integer number (3547041600).

Almost surely, 2^{1937713978368} is an apocalyptic number.

1937713978368 is a gapful number since it is divisible by the number (18) 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 1937713978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745675929600).

1937713978368 is an abundant number, since it is smaller than the sum of its proper divisors (5553637880832).

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

1937713978368 is a wasteful number, since it uses less digits than its factorization.

1937713978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The spelling of 1937713978368 in words is "one trillion, nine hundred thirty-seven billion, seven hundred thirteen million, nine hundred seventy-eight thousand, three hundred sixty-eight".