7487076421440 has 4032 divisors, whose sum is σ = 36642043576320. Its totient is φ = 1418939596800.

The previous prime is 7487076421387. The next prime is 7487076421537. The reversal of 7487076421440 is 441246707847.

7487076421440 is a `hidden beast` number, since 7 + 48 + 70 + 76 + 4 + 21 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 38793141984 + ... + 38793142176.

Almost surely, 2^{7487076421440} is an apocalyptic number.

7487076421440 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 7487076421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321021788160).

7487076421440 is an abundant number, since it is smaller than the sum of its proper divisors (29154967154880).

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

7487076421440 is a wasteful number, since it uses less digits than its factorization.

7487076421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 7487076421440 in words is "seven trillion, four hundred eighty-seven billion, seventy-six million, four hundred twenty-one thousand, four hundred forty".