7136778624096 has 384 divisors, whose sum is σ = 22475125209600. Its totient is φ = 1958584320000.

The previous prime is 7136778624089. The next prime is 7136778624103. The reversal of 7136778624096 is 6904268776317.

It is an interprime number because it is at equal distance from previous prime (7136778624089) and next prime (7136778624103).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58706736 + ... + 58828176.

It is an arithmetic number, because the mean of its divisors is an integer number (58528971900).

Almost surely, 2^{7136778624096} is an apocalyptic number.

7136778624096 is a gapful number since it is divisible by the number (76) 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 7136778624096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237562604800).

7136778624096 is an abundant number, since it is smaller than the sum of its proper divisors (15338346585504).

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

7136778624096 is a wasteful number, since it uses less digits than its factorization.

7136778624096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121614 (or 121606 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 7136778624096 in words is "seven trillion, one hundred thirty-six billion, seven hundred seventy-eight million, six hundred twenty-four thousand, ninety-six".