76429216896000 has 1408 divisors, whose sum is σ = 273653687983104. Its totient is φ = 18866818252800.

The previous prime is 76429216895951. The next prime is 76429216896001. The reversal of 76429216896000 is 69861292467.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76429216896001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132459647712 + ... + 132459648288.

It is an arithmetic number, because the mean of its divisors is an integer number (194356312488).

Almost surely, 2^{76429216896000} 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 76429216896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136826843991552).

76429216896000 is an abundant number, since it is smaller than the sum of its proper divisors (197224471087104).

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

76429216896000 is a wasteful number, since it uses less digits than its factorization.

76429216896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 76429216896000 in words is "seventy-six trillion, four hundred twenty-nine billion, two hundred sixteen million, eight hundred ninety-six thousand".