7738370640000 has 3200 divisors, whose sum is σ = 38670534967680. Its totient is φ = 1483038720000.

The previous prime is 7738370639981. The next prime is 7738370640029. The reversal of 7738370640000 is 460738377.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 6486479404 + ... + 6486480596.

Almost surely, 2^{7738370640000} is an apocalyptic number.

7738370640000 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 7738370640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19335267483840).

7738370640000 is an abundant number, since it is smaller than the sum of its proper divisors (30932164327680).

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

7738370640000 is a wasteful number, since it uses less digits than its factorization.

7738370640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 7738370640000 in words is "seven trillion, seven hundred thirty-eight billion, three hundred seventy million, six hundred forty thousand".