978379307136 has 768 divisors, whose sum is σ = 3704771865600. Its totient is φ = 240102973440.

The previous prime is 978379307107. The next prime is 978379307137. The reversal of 978379307136 is 631703973879.

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

It is not an unprimeable number, because it can be changed into a prime (978379307137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1033135015 + ... + 1033135961.

It is an arithmetic number, because the mean of its divisors is an integer number (4823921700).

Almost surely, 2^978379307136 is an apocalyptic number.

978379307136 is a gapful number since it is divisible by the number (96) 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 978379307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852385932800).

978379307136 is an abundant number, since it is smaller than the sum of its proper divisors (2726392558464).

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

978379307136 is a wasteful number, since it uses less digits than its factorization.

978379307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 978379307136 in words is "nine hundred seventy-eight billion, three hundred seventy-nine million, three hundred seven thousand, one hundred thirty-six".