768737153980224 has 3360 divisors, whose sum is σ = 2965214549721600. Its totient is φ = 194298748600320.

The previous prime is 768737153980219. The next prime is 768737153980231. The reversal of 768737153980224 is 422089351737867.

768737153980224 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 3 + 7 + 1 + 5 + 398 + 0 + 224 = 666.

It is a super-2 number, since 2×768737153980224² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1135505396974 + ... + 1135505397650.

It is a 1-persistent number, because it is pandigital, but 2⋅768737153980224 = 1537474307960448 is not.

Almost surely, 2^{768737153980224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768737153980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482607274860800).

768737153980224 is an abundant number, since it is smaller than the sum of its proper divisors (2196477395741376).

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

768737153980224 is a wasteful number, since it uses less digits than its factorization.

768737153980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 768737153980224 in words is "seven hundred sixty-eight trillion, seven hundred thirty-seven billion, one hundred fifty-three million, nine hundred eighty thousand, two hundred twenty-four".