978347505623040 has 1344 divisors, whose sum is σ = 4163149924128000. Its totient is φ = 211852172722176.

The previous prime is 978347505623027. The next prime is 978347505623057. The reversal of 978347505623040 is 40326505743879.

It is a happy number.

978347505623040 is a `hidden beast` number, since 9 + 7 + 8 + 34 + 7 + 5 + 0 + 562 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402223264 + ... + 2402630496.

Almost surely, 2^{978347505623040} is an apocalyptic number.

978347505623040 is a gapful number since it is divisible by the number (90) 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 978347505623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081574962064000).

978347505623040 is an abundant number, since it is smaller than the sum of its proper divisors (3184802418504960).

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

978347505623040 is a wasteful number, since it uses less digits than its factorization.

978347505623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407310 (or 407269 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 978347505623040 in words is "nine hundred seventy-eight trillion, three hundred forty-seven billion, five hundred five million, six hundred twenty-three thousand, forty".