7139672709120 has 480 divisors, whose sum is σ = 29246651834400. Its totient is φ = 1631923863552.

The previous prime is 7139672709109. The next prime is 7139672709139. The reversal of 7139672709120 is 219072769317.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5191236 + ... + 6420924.

It is an arithmetic number, because the mean of its divisors is an integer number (60930524655).

Almost surely, 2^{7139672709120} is an apocalyptic number.

7139672709120 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 7139672709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623325917200).

7139672709120 is an abundant number, since it is smaller than the sum of its proper divisors (22106979125280).

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

7139672709120 is a wasteful number, since it uses less digits than its factorization.

7139672709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229735 (or 1229706 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 7139672709120 in words is "seven trillion, one hundred thirty-nine billion, six hundred seventy-two million, seven hundred nine thousand, one hundred twenty".