76142046240000 has 2160 divisors, whose sum is σ = 307087306606080. Its totient is φ = 18012119040000.

The previous prime is 76142046239999. The next prime is 76142046240103. The reversal of 76142046240000 is 4264024167.

76142046240000 is a `hidden beast` number, since 7 + 6 + 1 + 4 + 20 + 4 + 624 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×76142046240000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103877279634 + ... + 103877280366.

Almost surely, 2^{76142046240000} 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 76142046240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153543653303040).

76142046240000 is an abundant number, since it is smaller than the sum of its proper divisors (230945260366080).

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

76142046240000 is a wasteful number, since it uses less digits than its factorization.

76142046240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 76142046240000 in words is "seventy-six trillion, one hundred forty-two billion, forty-six million, two hundred forty thousand".