7885970379000 has 1152 divisors, whose sum is σ = 32234305259520. Its totient is φ = 1798052256000.

The previous prime is 7885970378999. The next prime is 7885970379037. The reversal of 7885970379000 is 9730795887.

7885970379000 is a `hidden beast` number, since 7 + 8 + 8 + 597 + 0 + 37 + 9 + 0 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 8656388545 + ... + 8656389455.

It is an arithmetic number, because the mean of its divisors is an integer number (27981167760).

Almost surely, 2^{7885970379000} is an apocalyptic number.

7885970379000 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 7885970379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117152629760).

7885970379000 is an abundant number, since it is smaller than the sum of its proper divisors (24348334880520).

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

7885970379000 is a wasteful number, since it uses less digits than its factorization.

7885970379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 7885970379000 in words is "seven trillion, eight hundred eighty-five billion, nine hundred seventy million, three hundred seventy-nine thousand".