1001978703936 has 560 divisors, whose sum is σ = 3431586329600. Its totient is φ = 284342192640.

The previous prime is 1001978703917. The next prime is 1001978704019. The reversal of 1001978703936 is 6393078791001.

1001978703936 is a `hidden beast` number, since 100 + 19 + 78 + 70 + 393 + 6 = 666.

It is a super-2 number, since 2×1001978703936² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 1754778531 + ... + 1754779101.

Almost surely, 2^{1001978703936} is an apocalyptic number.

1001978703936 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 1001978703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715793164800).

1001978703936 is an abundant number, since it is smaller than the sum of its proper divisors (2429607625664).

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

1001978703936 is an frugal number, since it uses more digits than its factorization.

1001978703936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 1001978703936 in words is "one trillion, one billion, nine hundred seventy-eight million, seven hundred three thousand, nine hundred thirty-six".