7402876738920 has 512 divisors, whose sum is σ = 27741817958400. Its totient is φ = 1742265676800.

The previous prime is 7402876738883. The next prime is 7402876738967. The reversal of 7402876738920 is 298376782047.

7402876738920 is a `hidden beast` number, since 7 + 402 + 8 + 76 + 73 + 8 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1191894615 + ... + 1191900825.

It is an arithmetic number, because the mean of its divisors is an integer number (54183238200).

Almost surely, 2^{7402876738920} 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 7402876738920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870908979200).

7402876738920 is an abundant number, since it is smaller than the sum of its proper divisors (20338941219480).

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

7402876738920 is a wasteful number, since it uses less digits than its factorization.

7402876738920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 7402876738920 in words is "seven trillion, four hundred two billion, eight hundred seventy-six million, seven hundred thirty-eight thousand, nine hundred twenty".