6974785752480 has 960 divisors, whose sum is σ = 31114602731520. Its totient is φ = 1431821131776.

The previous prime is 6974785752427. The next prime is 6974785752491. The reversal of 6974785752480 is 842575874796.

It is a happy number.

6974785752480 is a `hidden beast` number, since 6 + 9 + 7 + 4 + 7 + 8 + 575 + 2 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6974785752399 and 6974785752408.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43556401 + ... + 43716239.

It is an arithmetic number, because the mean of its divisors is an integer number (32411044512).

Almost surely, 2^{6974785752480} is an apocalyptic number.

6974785752480 is a gapful number since it is divisible by the number (60) 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 6974785752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557301365760).

6974785752480 is an abundant number, since it is smaller than the sum of its proper divisors (24139816979040).

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

6974785752480 is a wasteful number, since it uses less digits than its factorization.

6974785752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159923 (or 159906 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 6974785752480 in words is "six trillion, nine hundred seventy-four billion, seven hundred eighty-five million, seven hundred fifty-two thousand, four hundred eighty".