7620238080000 has 1920 divisors, whose sum is σ = 34730862566400. Its totient is φ = 1607122944000.

The previous prime is 7620238079963. The next prime is 7620238080011. The reversal of 7620238080000 is 808320267.

It is a happy number.

7620238080000 is a `hidden beast` number, since 7 + 620 + 23 + 8 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 3144958789 + ... + 3144961211.

It is an arithmetic number, because the mean of its divisors is an integer number (18088990920).

Almost surely, 2^{7620238080000} is an apocalyptic number.

7620238080000 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 7620238080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365431283200).

7620238080000 is an abundant number, since it is smaller than the sum of its proper divisors (27110624486400).

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

7620238080000 is a wasteful number, since it uses less digits than its factorization.

7620238080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 7620238080000 in words is "seven trillion, six hundred twenty billion, two hundred thirty-eight million, eighty thousand".