1946275028640 has 384 divisors, whose sum is σ = 7058567577600. Its totient is φ = 500345717760.

The previous prime is 1946275028629. The next prime is 1946275028651. The reversal of 1946275028640 is 468205726491.

1946275028640 is a `hidden beast` number, since 1 + 9 + 4 + 627 + 5 + 0 + 2 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1946275028629) and next prime (1946275028651).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35193331 + ... + 35248589.

It is an arithmetic number, because the mean of its divisors is an integer number (18381686400).

Almost surely, 2^{1946275028640} is an apocalyptic number.

1946275028640 is a gapful number since it is divisible by the number (10) 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 1946275028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529283788800).

1946275028640 is an abundant number, since it is smaller than the sum of its proper divisors (5112292548960).

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

1946275028640 is a wasteful number, since it uses less digits than its factorization.

1946275028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55577 (or 55563 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1946275028640 in words is "one trillion, nine hundred forty-six billion, two hundred seventy-five million, twenty-eight thousand, six hundred forty".