7941978303840 has 1152 divisors, whose sum is σ = 31954806374400. Its totient is φ = 1758923182080.

The previous prime is 7941978303823. The next prime is 7941978303871. The reversal of 7941978303840 is 483038791497.

7941978303840 is a `hidden beast` number, since 7 + 94 + 1 + 97 + 83 + 0 + 384 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 15789221029 + ... + 15789221531.

It is an arithmetic number, because the mean of its divisors is an integer number (27738547200).

Almost surely, 2^{7941978303840} is an apocalyptic number.

7941978303840 is a gapful number since it is divisible by the number (70) 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 7941978303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977403187200).

7941978303840 is an abundant number, since it is smaller than the sum of its proper divisors (24012828070560).

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

7941978303840 is a wasteful number, since it uses less digits than its factorization.

7941978303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7941978303840 in words is "seven trillion, nine hundred forty-one billion, nine hundred seventy-eight million, three hundred three thousand, eight hundred forty".