76499748864000 has 4800 divisors, whose sum is σ = 365524501934592. Its totient is φ = 15458107392000.

The previous prime is 76499748863983. The next prime is 76499748864017. The reversal of 76499748864000 is 46884799467.

76499748864000 is a `hidden beast` number, since 7 + 6 + 499 + 74 + 8 + 8 + 64 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76499748863983) and next prime (76499748864017).

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a self number, because there is not a number n which added to its sum of digits gives 76499748864000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 676988927944 + ... + 676988928056.

Almost surely, 2^{76499748864000} is an apocalyptic number.

76499748864000 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 76499748864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182762250967296).

76499748864000 is an abundant number, since it is smaller than the sum of its proper divisors (289024753070592).

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

76499748864000 is a wasteful number, since it uses less digits than its factorization.

76499748864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 76499748864000 in words is "seventy-six trillion, four hundred ninety-nine billion, seven hundred forty-eight million, eight hundred sixty-four thousand".