7830132710400 has 2112 divisors, whose sum is σ = 38610772085760. Its totient is φ = 1501750886400.

The previous prime is 7830132710377. The next prime is 7830132710437. The reversal of 7830132710400 is 40172310387.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×7830132710400² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 691885542 + ... + 691896858.

Almost surely, 2^{7830132710400} is an apocalyptic number.

7830132710400 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 7830132710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305386042880).

7830132710400 is an abundant number, since it is smaller than the sum of its proper divisors (30780639375360).

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

7830132710400 is a wasteful number, since it uses less digits than its factorization.

7830132710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11387 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 7830132710400 in words is "seven trillion, eight hundred thirty billion, one hundred thirty-two million, seven hundred ten thousand, four hundred".